Questions on Algebra: Inequalities, trichotomy answered by real tutors!

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Question 996351: Suppose U={1,2,3,4,5} is the universal set and A={2,3}. What is the complement of A?
Click here to see answer by stanbon(75887) About Me 

Question 996322: I have a question about the logarithmic equations. I'll use log[a, b] where a is the base of the logarithm.

Is
log[sqrt3,(1-x)^2] - log[sqrt3, (3-x)] < 2
equal to
2 * log[sqrt3, (1-x)] - log [sqrt3, (3-x)]<2
If they're not equal, why aren't they? Isn't the logarithm property of exponent is log(1-x)^2 = 2 * log(1-x)?

Click here to see answer by MathLover1(20849) About Me 
Question 996322: I have a question about the logarithmic equations. I'll use log[a, b] where a is the base of the logarithm.

Is
log[sqrt3,(1-x)^2] - log[sqrt3, (3-x)] < 2
equal to
2 * log[sqrt3, (1-x)] - log [sqrt3, (3-x)]<2
If they're not equal, why aren't they? Isn't the logarithm property of exponent is log(1-x)^2 = 2 * log(1-x)?

Click here to see answer by rothauserc(4718) About Me 

Question 996427: Write an inequality and solve
CATEGORY WIND SPEED
1 74-95 mi/hr
2 96-110 mi/hr
3 111-130 mi/hr
4 131-155 mi/hr
5 156+ mi/hr
QUESTION:
The Saffir-Simpson Hurricane Scale rates a storm intensity by its sustained wind speed. By the time a hurricane reached the coast its sustained winds had decreased by 25 mi/hr, so it was down graded to a category 3 hurricane. Determine the possible sustained wind speeds of the hurricane at its peak.

Click here to see answer by Theo(13342) About Me 

Question 996490: 8>-2x+6>-2 solve inequalities and write solution set in interval notation
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Question 996519: What is "twice a number,diminished by 17 is -3.
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Question 996519: What is "twice a number,diminished by 17 is -3.
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Question 996722: Write an absolute value equation representing the following; then solve the equation
Explain why | x - 4 | = -2 has no meaning in relation to the number line

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Question 996727: Solve. Write empty set of no solution exists
| x - 1/2 | = 3/2

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Question 996726: Solve. Write empty set if no solution exists
-5 | x | = 35

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Question 996721: Write an absolute value equation representing the following; then solve the equation
Numbers that are 5 units from 15

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Question 996719: Write an absolute value equation representing the following; then solve the equation.
Numbers that are 7 units from -3

Click here to see answer by Theo(13342) About Me 

Question 996852: help mee !! i have an equality ot be solvedd !!!

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Question 996984: Is -4 greater than -7?

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Question 997082: Solve
Meat should be stored below 40 degrees F or kept above 140 degrees F after cooking, outside the danger zone described in the previous exercise. Write an absolute value inequality representing safe temperatures for meat.

Click here to see answer by Theo(13342) About Me 

Question 997081: Solve

Write an absolute value inequality representing all numbers that are at least 2 units from 5

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Question 997177: The sum of two acute angles in a right triangle is 90*. The measure of one angle 10* more than 3 times the measure of the other angle.Find the measure of each angle
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Question 997206: Write an inequality and solve
Samuel makes twice as much per hour as Kathy, but Kathy works three times as many hours per week as Samuel. Kathy works 36 hr, and the sum of their wages exceeds $480. How much does each of them make per hour?

Click here to see answer by josgarithmetic(39615) About Me 

Question 997176: One brand of cleaner used to etch concrete is 30% acid. A stronger industrial strength cleaner is 55% acid. How many gallons of each cleaner should be mixed to produce gallons of a 50% acid solutions?

Click here to see answer by josgarithmetic(39615) About Me 

Question 997205: Write an inequality and solve
Find the largest integer such that eight more than six times the integer is less than the opposite of 42

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Question 997204: Solve
A person functions comfortably in temperatures from 16 degrees C to 27 degrees C. Write a compound inequality and an absolute value inequality representing a person's optimal temperature range

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Question 997687: 3[3(X+5)+8X+7]+5[3(X-6)-2(4X-3)]<3X+19=
Click here to see answer by Boreal(15235) About Me 

Question 997705: How do you do multi step inequalities?
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Question 997729: Write an equality and solve.
Find all the numbers such that the product of seven and the number is more than the sum of seven and the number. What is the smallest integer that is a solution?

Click here to see answer by Theo(13342) About Me 

Question 997728: solve
An investor has decided to sell his shares of stock in the stock's price increases or decreases more than $14 from its present value of $73 per share. Write an absolute value inequality representing the price at which he should sell his shares. Then solve the inequality to state the range of prices.

Click here to see answer by Theo(13342) About Me 

Question 997727: solve
the proper pH of the water in swimming pools is 7.4 + or - 0.2. Write an absolute value inequality representing this range. Then solve the inequality to state the range of the pH.

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Question 997725: Write an equality and solve
Find all the numbers such that adding 15 to 23 times the number greater than 429.

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Question 998512: State whether each set represents a relation
{(1,-2),(1,3),(1,-4),(1,5)}

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Question 998599: Im not sure if I chose the correct topic but could you please help me solve this equation? the original function is: f(x)=(2x)/(x-3). I have to find the inverse relation so switch x and y. i have come up with the equation: x=(2y)/(y-3). i need help solving for y. so far i have xy-3x=2y
Click here to see answer by jim_thompson5910(35256) About Me 

Question 998609: Not sure if this is the right topic but here is the problem:
Find the equation of the line containing the point p(-1,3) and perpendicular to the graph of 2x+4y=-1.

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Question 998781: URGENT HELP. The student council of XYZ School needed P225,000 for an annual trip. If five more members joined the group, each member would then save P500. How many students planned to make the trip?
Thank you :)

Click here to see answer by mananth(16946) About Me 
Question 998781: URGENT HELP. The student council of XYZ School needed P225,000 for an annual trip. If five more members joined the group, each member would then save P500. How many students planned to make the trip?
Thank you :)

Click here to see answer by KMST(5328) About Me 

Question 998951: Solve the inequality 8/x < x-2
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 999056: Good Morning,
I need help I think I had my symbols wrong on 2 question.
5/9 x greater than or equal to -3/4
-4(x +2) less than or equal to -9/ x + 6
Thanking you in advance, Betty

Click here to see answer by Alan3354(69443) About Me 

Question 999161: 3<2x-5x+15
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Question 999243: Jessica would like to get an A in her algebra class. To do so, she must have an average of no less than 93%. She scored 88%, 91%, 98%, 92%, and 95% on her first five tests. Assuming all six tests count the same toward her grade, write an inequality for the range of scores she can earn on the last test and still receive an A. (Use g for the grade needed to assure Jessica gets an A.)

Click here to see answer by josgarithmetic(39615) About Me 

Question 999363: Find the value of K such that the equalities are equivalent
5/11 x+5=2/11 x-16
5/11 x=2/11 x+k



Click here to see answer by stanbon(75887) About Me 

Question 999379: I have homework but I do not understand this question. I would truly appreciate your help
Solve the inequality 5(2 x + 1) < 10.
x < 1/2
x > 1/2
x < 3/2
x > 3/2
Thank you for your help :)

Click here to see answer by fractalier(6550) About Me 

Question 999752: The volume of a rectangular box is V(x)=(6x^3+29x^2-7x-10)cm^3. The box has a length of (2x+1)cm and a width of (x+5)cm. Determine the height of the box.
thanks for your time :)

Click here to see answer by Alan3354(69443) About Me 
Question 999752: The volume of a rectangular box is V(x)=(6x^3+29x^2-7x-10)cm^3. The box has a length of (2x+1)cm and a width of (x+5)cm. Determine the height of the box.
thanks for your time :)

Click here to see answer by MathLover1(20849) About Me 

Question 999817: My problem is 4x-(1/10)x = 3x +(4/5). I've gotten it down to x-(1/10)x =(4/5),but I'm confused on how to get it the rest of the way.
Click here to see answer by josgarithmetic(39615) About Me 

Question 999845: what does it mean in reference to solution set
Click here to see answer by Theo(13342) About Me 

Question 1000010: I am having trouble trying to set up this word problem Two times the number of dimes in the bank equals the number of dimes plus 30. How many dimes are there in the bank? Please help me set up the problem so I can solve it. Thank you i am so confused!

Click here to see answer by macston(5194) About Me 

Question 1000012: I'm having trouble solving this problem:
David and Daniel's father gave them equal amounts of money. David earned money doing chores until he had twice as much as he started with. Daniel didn't earn any more, but he received $12.00 for his birthday. If the boys still have the same amount of money, how much did their father give each one? I also need help setting up this problem. Thank you.

Click here to see answer by fcabanski(1391) About Me 

Question 1000099: I came up with D.
After computing the determinants required by Cramer's Rule for a system of three equations in three
variables, we obtained the following values. What is the solution to the system?
A. (0,0,0)
B. (0,1,2)
C. There are infinitely many solutions to the system.
D. There is no solution; the system is inconsistent.

Click here to see answer by Alan3354(69443) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205