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

Tutors Answer Your Questions about Inequalities (FREE)

Question 1076743: [(12x^2 + 4)/(x^2 + 1)^2] > 0
Click here to see answer by ikleyn(52776)

Question 1076748: Find the range of values of x for: [(4-4x^2)/(X^2+1)^2]>0
If you look at the denominator, the denominator is always greater than zero because any nonzero number squared is a positive number.
We should focus on the numerator. Look at (4 - 4x^2) > 0. We get here because we can multiply both sides of the inequality by (x^2 + 1)^2, cancelling it out from both sides of the inequality.
Now solve for x in (4 - 4x^2) > 0
4 > 4x^2
1 > x^2
sqrt(1) > sqrt(x^2)
1 > |x|
We see that by the definition of absolute value we get
Either 1 > x OR 1 > -x
1 > x OR -1 < x
so -1 < x < 1 is our solution.
Click here to see answer by alanc(27)

Question 1076793: The sum of the number and 24 less than the numbers is greater than 184. What is the smallest vvalue this number could be?
How can i translate this one? Thanks
Click here to see answer by josgarithmetic(39616)

Question 1076794: One number is 5 more than another. The sum of twice the smaller number plus four times the larger number, is 56. What are the two numbers?
How can i translate this one and how will i gonna get the two numbers?
Click here to see answer by josgarithmetic(39616)

Question 1076832: The height of lisas triangular dining room is 6 feet. If the area of the room is atleast 30 swuare feet, but less than 45 swuare feet. What is the width the room could have? List all the possible width in whole numbers? Thanks.
Click here to see answer by stanbon(75887)

Question 1076840: How old am if 200 less than twice my age is more than negative -40? Find the youngest age that i can be
Click here to see answer by jorel1380(3719)

Question 1076840: How old am if 200 less than twice my age is more than negative -40? Find the youngest age that i can be
Click here to see answer by MathTherapy(10551)

Question 743374: (a+b+c+d)^2<=4(a^2+b^2+c^2+d^2)
Click here to see answer by mathyguy(1)

Question 1077330: Which expression is equivalent to 7 to the 3rd power multiplied by 7 to the -5 power
Click here to see answer by josgarithmetic(39616)

Question 1077330: Which expression is equivalent to 7 to the 3rd power multiplied by 7 to the -5 power
Click here to see answer by MathTherapy(10551)

Question 1077929: Solve each of the given inequalities. Write the solution in both inequality and interval notation.
10x - 2 < 5x + 13
and also

-1.3x + 4.9 greater than equal to 1.7 - 2.1x
Click here to see answer by Boreal(15235)

Question 1078028: Rewrite without using absolute value sign:
|x-2|<4
Click here to see answer by Edwin McCravy(20054)

Question 1078028: Rewrite without using absolute value sign:
|x-2|<4
Click here to see answer by Theo(13342)

Question 1078029: |2x+1|<=3
Click here to see answer by Alan3354(69443)

Question 1078030: |3x-2|<=5
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Question 1078284: A rectangular plot of ground is to be enclosed by a fence then divided down the middle by another fence. If the fence down the middle costs $3 and the rest of the fencing costs $5. find the dimensions of the plot of the largest possible area that can be fenced for $130
Click here to see answer by ankor@dixie-net.com(22740)

Question 1078334: -25 less than x+7 less than or equal to 24

Click here to see answer by Fombitz(32388)

Question 1052017: A company is considering two insurance plans with coverage and premiums shown in the table. (For example, this means that $50 buys one unit of plan A, consisting of $10,000 fire and theft insurance and $180,000 of liability insurance.) Answer parts a and b.
a.he company needs at least $150,000 fire and theft insurance and at least $2,400,000 liability from these plans. How many units should be purchased from each plan to minimize the cost of the premiums? What is the minimum premium?
The company should purchase __ units of Policy A and __ of Policy B, for a premium of $___.
Click here to see answer by lawson221(1)

Question 1078402: diana's age is three years more than twice her younger's brother afe. If the sun of their ages is more than 111, then find the youngest age that dians's brother could be. Thanks
Click here to see answer by MathTherapy(10551)

Question 1078960: The square root of x is less than or equal to 7
Click here to see answer by josmiceli(19441)

Question 1079365: Six more than 4 times a number is -34. Find the number

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Question 1079365: Six more than 4 times a number is -34. Find the number

Click here to see answer by ikleyn(52776)

Question 1079368: Mr beck is a middle child and has an older brother and a younger sister. Mr Beck's older brother is 2 years older than mr Beck. His sister is 3 years younger.if all ages add up to 68 how old is mr beck and his siblings
Click here to see answer by josgarithmetic(39616)

Question 1080369: find the set of a interval value of x satisfying the inequalities 2x-1>x+2<16-x
Click here to see answer by Fombitz(32388)

Question 1080587: -4x+10 less than and equal to x less than and equal to 2x+6
Click here to see answer by Fombitz(32388)

Question 1080629: 1. negative integers greater than -9
2. xix EN, x is less than or equal to 10
Click here to see answer by Alan3354(69443)

Question 1080652: please help me solve this question. xix EN, x<=10
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Question 1081067: Solve the inequality.
What is the solution set? Select the correct choice below and if necessary, fill in the answer box within your choice.
|x|≥−6
Click here to see answer by josgarithmetic(39616)

Question 1081069: Solve the following inequality. Give the solution set in both interval and graph forms.
What is the solution set? Select the correct choice below and if necessary fill in the answer box to complete your choice.
-6≤x+5≤19
Click here to see answer by josgarithmetic(39616)

Question 1081035: For the Following compound inequality, give the solution set in both interval and graph forms.
x≤1 or x≤10

Click here to see answer by Boreal(15235)

Question 1081065: For the following compound inequality, give the solution set in both interval and graph forms.
x≤1 or x≤10
Click here to see answer by ikleyn(52776)

Question 1081070: What is the key word for an intersecting solution set of a compound inequality?

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Question 1081450: (2x-3)(x+1)=-1
Click here to see answer by Alan3354(69443)

Question 1081450: (2x-3)(x+1)=-1
Click here to see answer by MathLover1(20849)

Question 1081489: Can you help me with this problem : A man bought x boxes of doughnuts for $3.49 each. He paid with a $50 bill and received the correct amount of change. If he received more than $10 but less than $20, which inequality represents the number of boxes of doughnuts he could have bought?
Click here to see answer by josmiceli(19441)

Question 1081600: all real number greater than -7
Click here to see answer by Fombitz(32388)

Question 1081633: Why would 3>=-6 become o>=-9 ?
The problem is .... 3(1-x) >= -3(x+2) why wouldn't it be 3 >= -6 (all real numbers)

Click here to see answer by stanbon(75887)

Question 1081633: Why would 3>=-6 become o>=-9 ?
The problem is .... 3(1-x) >= -3(x+2) why wouldn't it be 3 >= -6 (all real numbers)

Click here to see answer by MathLover1(20849)

Question 1081633: Why would 3>=-6 become o>=-9 ?
The problem is .... 3(1-x) >= -3(x+2) why wouldn't it be 3 >= -6 (all real numbers)

Click here to see answer by addingup(3677)

Question 1081631: Please help me solve this equation : a marketing team has determined that the relationship between the selling price of a particular item and it's profit can be represented by the equation p=-30s^2+1400s-16000 where s represents the selling price and p represents the yearly profit. Determine what selling price will yield the maximum profit and what the profit would be at that price .
Click here to see answer by stanbon(75887)

Question 1081630: A ball is kicked off of the roof of a 40 foot tall building with an initial vertical velocity of 16 feet per second . The balls distance from the ground can be modeled by the equation h =- 16t^2+ vt+s.
A. Find the height of the ball after 1.5 seconds .
B. Determine the maximum height of the ball and the time that passes before the ball reaches that height
Click here to see answer by ankor@dixie-net.com(22740)

Question 1081810: Does 3 >= -6 equal o >= -9 ... if so why???? Would you divide both sides by 3....and if so...WHY????..... it has no variable left at this point. Please explain if there is a rule....do you look for factors???
How far do you break down an inequality???? These inequalities have different all real number sets. I have been given different answers on this.
Original problem.... 3(1-x) >= -3(x+2)
Click here to see answer by Boreal(15235)

Question 1081892: Devaughn is 5 years younger than Sydney. The sum of their ages is 37. What is Sydney's age?

Click here to see answer by Fombitz(32388)

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