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

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Tutors Answer Your Questions about Inequalities (FREE)


Question 108223: -8w < 24
Click here to see answer by BurningFlame_marc(77) About Me 

Question 108206: Graph each inequalities
y<1/2x+2
x-3y<9

Click here to see answer by elima(1433) About Me 

Question 108590: Please solve this inequality
2(3-2m)is greater than or equal to 8m+3
Thank you

Click here to see answer by checkley71(8403) About Me 

Question 108620: ): HI!
please help me with this..........
length , area
10 , 10
9 , 18
8 , 24
7 , 28
6 , 30
5 , 30
4 , 28
3 , 24
2 , 18
1 , 10
graph this and explain whether we can connect or not connect points
ps.
i think the equation is
L^2+11 and if i am wrong please correct me

Click here to see answer by Fombitz(13828) About Me 

Question 108941: the opposite of g is at least -5
Click here to see answer by Fombitz(13828) About Me 

Question 108964: Copy and complete the sataement using <,> or =
3^7 x 3^4 ____ 3^10
Any help with this equation would be greatly appreciated

Click here to see answer by stanbon(57982) About Me 

Question 108965: Copy and complete the sataement using <,> or =
A square has a side length of 2x^4 centimeters. Represent the area of the square using exponents.
Any help with this equation would be greatly appreciated

Click here to see answer by stanbon(57982) About Me 

Question 108963: Copy and complete the sataement using <,> or =
34. 8^8 ___ 8^6 x 8
Any help with this equation would be greatly appreciated

Click here to see answer by stanbon(57982) About Me 

Question 108980: I am to Solve this inequality...the actual answer is (-9/5, 1)
(didnt know how to make vertical lines but the 5k+2 has vertical lines on each side)
5k%2B2+++-3+is+less+than+or+equal+to+4
What I got so far
5k+2 -3 <=4
7k-3<=4
4k-3<=4-3
4k<=1
I was thinking next to take each side divide by 4 but it wasnt working out
Can you please help me find out where I went wrong.
Thank you so much :)

Click here to see answer by jim_thompson5910(28717) About Me 

Question 108994: I could totall be overthinking this because I tend to do so, but can you please tell me if I am correct or understand the following.
Trying to solve the inequality the absoulute value of b < = 8.
I belive the answer is [-8,8] becuase obvisouly the 8 would be equal to the 8 but from every example i have seen like this the same # is always used as a negitive and I dont understand why (in this case the -8).
Is this always the case or is there something I am missing or overthinking?
Thank you kindly for your help :0)

Click here to see answer by jim_thompson5910(28717) About Me 

Question 109120: I need help solving rational inequalities. I have to solve 4x/x+1 < -3x/x-6 algebraically using a number line and test points. I have to determine when f(x)=4x/x+1 is less than g(x)= -3x/x-6.
I have tried to answer the question but my answer doesn't make any sense to me because I can't tell when f(x) is less than g(x) from when I solved the inequalitie algebraically using the method my teacher taught me.

Click here to see answer by stanbon(57982) About Me 

Question 109164: Please help me---I am not sure how to setup this problem in order to solve it.
Problem: Find the greatest possible pair of numbers such that one integer is 5 more than twice the other and the sum is less than 30.

Click here to see answer by ankor@dixie-net.com(15746) About Me 

Question 109381: 1) You are collecting sponsers for a 10-mile walk-a-thon. So far, you have collected $230.00 in donations. How much must the last sponsor pledge per mile to reach or exceed the goal of $300.00?
2) You are biking at a rate of 30 miles per hour. You have already biked 20 miles. How many more hours must you bike to surpass your goal of 50 miles?

Click here to see answer by stanbon(57982) About Me 

Question 109379: Describe the solutions of ax^2-bx+c=0 if b^2-4ac<0? You have to describe how many roots there are. thanks!
Click here to see answer by jim_thompson5910(28717) About Me 

Question 109534: hi,
two factors of x^3-3x^2-4x+12 are x+2 and x-3. find the remaining factor. thank you

Click here to see answer by edjones(7569) About Me 

Question 109655: please let me know if I setup this problem correctly.
The sum of three consecutive even integers is less than or equal to 126. Find the greatest values of the integers.
X+y+z_<126. Answer-- X<40, y<42, z<44

Click here to see answer by checkley71(8403) About Me 
Question 109655: please let me know if I setup this problem correctly.
The sum of three consecutive even integers is less than or equal to 126. Find the greatest values of the integers.
X+y+z_<126. Answer-- X<40, y<42, z<44

Click here to see answer by MathLover1(6813) About Me 

Question 109752: Last question: The sum of the solutions to 49x%5E2-25=%3F is 10/7, 0, -10/7, or 5/7? please help on this last question!! thank you. =)
Click here to see answer by stanbon(57982) About Me 

Question 109749: Two factors of x%5E3-3x%5E2-4x%2B12 are x%2B2 and x-3. Find the remaining factor. My answer was x+3 but i am not so sure, can you please help and explain the problem to me? thank you.
Click here to see answer by scott8148(6628) About Me 

Question 110149: If x=5 in the expression 5x+2y=7 what the value of y?
Click here to see answer by elima(1433) About Me 

Question 110555: 5x<35
Click here to see answer by checkley71(8403) About Me 

Question 110620: Please Help me with this question?
"The exact average of a set of six test scores is 92. Five of these scores are 93, 95, 96, and 88. What is the other test score?"

Click here to see answer by josmiceli(9817) About Me 

Question 110621: Please Help me with this one to,
"Which Inequality is true? - If x=3.04/1.48, y=1.99 to .33, and 2=(1,3)^3

Click here to see answer by stanbon(57982) About Me 

Question 110806: could you help define this equation
two-thirds of a number x decreased by nine

Click here to see answer by Earlsdon(6294) About Me 

Question 110805: Could you help me define/show how to solve:
A toll way machine contains $2100 worth of quarters, dimes, and nickels. There are nine times as many dimes as quarters and five times as many nickels as quarters Determine the number of quarters, nickels, and dimes in the collection. Represent with only one variable.

Click here to see answer by MathLover1(6813) About Me 

Question 110832: How do I graph the inequality: x <= 5
Click here to see answer by jim_thompson5910(28717) About Me 

Question 111137: Please solve for x
7x-2(x+2)-3=4x+5
I keep getting stuck on this problem...the following is what I have
7x-2(x+2)-3=4x+5
7x-2x+2-3=4x+5
7x-2x-1=4x+5
7x-2x+4x=-1+5
Thank you for your help!!!! :)

Click here to see answer by solver91311(17077) About Me 
Question 111137: Please solve for x
7x-2(x+2)-3=4x+5
I keep getting stuck on this problem...the following is what I have
7x-2(x+2)-3=4x+5
7x-2x+2-3=4x+5
7x-2x-1=4x+5
7x-2x+4x=-1+5
Thank you for your help!!!! :)

Click here to see answer by Earlsdon(6294) About Me 

Question 111203: the sum of two numbers is 11 at most. Their difference is 21. What are these two numbers?
Click here to see answer by MathLover1(6813) About Me 

Question 111463: solve the inequality
-1/11 < -2/11x

Click here to see answer by edjones(7569) About Me 

Question 111581: 1/3(x+5)<8
Click here to see answer by jim_thompson5910(28717) About Me 

Question 111754: If a < b, then -a > -b Why?
Click here to see answer by jim_thompson5910(28717) About Me 

Question 111930: Hi, I am working on an inequality word problem and I would like to know ifthis is right. I appreciate your help on this. Here it is: Translate the following statements into inequalities. Let x represent the number in each case.
Here is the problem; 2 times a number, increased by 28, is less than or equal to 6 times that number.
The equation I have is this; 2x+28<6 (there should be a line under the "greater than sign" as well)
I hope I explained this well for you. Thank you for your input.
Barb Neely

Click here to see answer by jim_thompson5910(28717) About Me 

Question 112242: Two men went fishing. They caught a total of 36 fish. X caught 8 times more than Y, how many fish did Y catch?
Click here to see answer by bucky(2189) About Me 
Question 112242: Two men went fishing. They caught a total of 36 fish. X caught 8 times more than Y, how many fish did Y catch?
Click here to see answer by jim_thompson5910(28717) About Me 

Question 112243: Two men went fishing. They caught a total of 36 fish. X caught 8 times more than Y, how many fish did Y catch?
Click here to see answer by checkley71(8403) About Me 

Question 112322: -9x+15= -22-4(x+12)
Click here to see answer by checkley71(8403) About Me 
Question 112322: -9x+15= -22-4(x+12)
Click here to see answer by jim_thompson5910(28717) About Me 

Question 112969: I dont understand how to divide inequalities. especially the following problem that has a lot of fractions
7/5(10m-1)<2/3(6m+5)

Click here to see answer by jim_thompson5910(28717) About Me 

Question 112981: 3(2x-4)-4x<2x+3
Click here to see answer by jim_thompson5910(28717) About Me 

Question 112982: -3<3m+1/4<3
Click here to see answer by jim_thompson5910(28717) About Me 

Question 112921: Hello, I am working on a problemn that goes like this: The cost of a long-distance telephone call is $0.36 for the first minute and $0.21 for each additional minute or portion thereof. Write an inequality representing the number of minutes a person could talk without exceeding $3.
What I have for the inequality so far is this: x=0.36+0.21x=$3.00, am I even close on this?
Thank you for your help,
Barb Neely

Click here to see answer by ptaylor(2052) About Me 

Question 113007: Solve 3z-2/-5<6
Click here to see answer by jim_thompson5910(28717) About Me 

Question 112975: 3(2x-4)-4x<2x+3
Click here to see answer by jim_thompson5910(28717) About Me 

Question 113245: Find the slope and the y-intercept of the line whose equation is –3x + y = -5.
Click here to see answer by stanbon(57982) 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