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

Tutors Answer Your Questions about Inequalities (FREE)

Question 1120068: -5y+8=-3y+10
Click here to see answer by Shin123(626)

Question 1099752: eight less than twice a number is at most thirteen
Click here to see answer by Shin123(626)

Question 1120318: 2/x+1 < 4/4x-2 Fractional Inequality
Click here to see answer by greenestamps(13195)

Question 1120317: 2/x+1 < 4/4x-2 Factional Inequality
Click here to see answer by solver91311(24713)

Question 1120317: 2/x+1 < 4/4x-2 Factional Inequality
Click here to see answer by ikleyn(52754)

Question 1120993: Solve for the below rational inequalities:
2x-3/x+3 >= 4
Click here to see answer by josgarithmetic(39613)

Question 1120992: Solve for the below rational inequalities:
2x-5/ 5 + 2x <= 0
Click here to see answer by ikleyn(52754)

Question 1120991: Solve the below rational inequalities:
4/2-x <= 6/4+x
Click here to see answer by josgarithmetic(39613)

Question 1120991: Solve the below rational inequalities:
4/2-x <= 6/4+x
Click here to see answer by ikleyn(52754)

Question 1120991: Solve the below rational inequalities:
4/2-x <= 6/4+x
Click here to see answer by MathTherapy(10549)

Question 1121002: Hi, unfortunately the text of my previous question "inequalities/1121001" has been truncated. Here tthe full question: Hi, I need step by step solution for this inequality: log_3^(1/2)(x) -5log_3(x) <2 Solution should be x>1/9^(1/3). My Idea was to convert all to log_3 as follows: log_3(x)/log_3(3^(1/2) - log_3(x^5) < log_3(3^2) an then solve the arguments: x/3^(1/2) - x^5 <9 but I don't reach the given result. Can somebody be so kind and explain me where I do wrong? My best Thanks for Help and regards Romolo
Click here to see answer by rothauserc(4718)

Question 1121001: Hi, I need step by step solution for this inequality: log_3^(1/2)(x) -5log_3(x) <2 Solution should be x>1/9^(1/3). My Idea was to convert all to log_3 as follows: log_3(x)/log_3(3^(1/2)) - log_3(x^5)
Click here to see answer by Alan3354(69443)

Question 1121306: the youngest member of the extended Lim Family is 5 years old the eldest is 78. What are the possible ages of the other member of the Lim family?
Math D3 O'Level
Click here to see answer by josgarithmetic(39613)

Question 1121370:
Click here to see answer by FrankM(1040)

Question 1121512: Eight less than a number is no more than 14 and no less than 5.
Click here to see answer by Alan3354(69443)

Question 1121512: Eight less than a number is no more than 14 and no less than 5.
Click here to see answer by ikleyn(52754)

Question 1121667: I don't know how to start this.
2/x+3 - 1/x+1 < 0
Click here to see answer by MathLover1(20849)

Question 1121667: I don't know how to start this.
2/x+3 - 1/x+1 < 0
Click here to see answer by Theo(13342)

Question 1121682: The value V of a new car, which cost $50,000 initially, when depreciated linearly over 20 years is given by V=50,000(1-x/20). where x represents years. Determine the values of x such that 0 < V < 20,000.
Click here to see answer by solver91311(24713)

Question 1121727: The value V of a new car, which cost $50,000 initially, when depreciated linearly over 20 years is given by V=50,000(1-x/20). where x represents years. Determine the values of x such that 0
Click here to see answer by Alan3354(69443)

Question 1121809: I have a problem with inequalities on a number line, write each solution as a single inequality involving absolute value which gives all possible values for the variable.
A.) Variable is b
Left to right on the number line, In brackets, the first point it 2.9, the middle point is 4.1, and the last point with closing brackets is 5.3.
Visually it looks like below:
<�� [��|��]��>
....... .......... .......... ......
I�m not sure what to be looking for here and I had another exercise with the answer (not needed to be solved just showing as an example)
The previous example was like this but with the line:
<�� [��|��]��>
...... ........ ........ .....
With the variable b and the answer was = | b+2.6 | less than or equal to 0.4

Click here to see answer by math_helper(2461)

Question 1121919: if D= {-2, -1, 0, 1, 2} is D a subset of itself?
Click here to see answer by ikleyn(52754)

Question 1121920: What is the error in this problem? Jacinta says that the product of a positive and a negative rational number is always irrational
Click here to see answer by ikleyn(52754)

Question 1122005: Hi the question I need help on is to make a equation and solve it algebraic . The problem is Karen started to work as a cashier in a supermarket earning $10 per hour. Her goal is to save $500 for her trip. How many hours does she need to work if she already has $50 saved.
Click here to see answer by josmiceli(19441)

Question 1122099: prove that for any a, the inequality is true
10a^2-5a+1≤a^2+a
Click here to see answer by ikleyn(52754)

Question 1122099: prove that for any a, the inequality is true
10a^2-5a+1≤a^2+a
Click here to see answer by josgarithmetic(39613)

Question 1122100: Raphael is traveling in a straight line at a constant speed from point A to point B. His distance from point B in miles is -60t+15 where t is number of hours he has been traveling. What is his speed in miles per hour?
Click here to see answer by ikleyn(52754)

Question 1122133: The length of a rectangle is 5 inches more than twice the width. If the area is to be at least 33 square inches, what are the possibilities for the width?
Click here to see answer by Boreal(15235)

Question 1122108: it is known that c>d. state the theorem that allows you to know that the following expressions are always true
a. 1-c < 1-d
b. c/8 > d/8
c. 2c+11 > 2d+11
Click here to see answer by Theo(13342)

Question 1122207: suppose that 3 < a < 4 and 4 < b <5. find all possible values of a+b
Click here to see answer by Edwin McCravy(20054)

Question 1122608: A car CD player has an operating temperature of |t − 44�| < 78�, where t is the temperature in degrees Fahrenheit. Express this range without using absolute value symbols.
Click here to see answer by greenestamps(13195)

Question 1122672: fill in the blanks:
(___ −2a)^2 = 9b^2− ___ + ___
(5x + ___)^2 = ___ � x^2+70xy + ___
Click here to see answer by solver91311(24713)

Question 1122672: fill in the blanks:
(___ −2a)^2 = 9b^2− ___ + ___
(5x + ___)^2 = ___ � x^2+70xy + ___
Click here to see answer by josgarithmetic(39613)

Question 1122671: Replace ∗ with a monomial so that the expression can be rewritten as a square of a sum or a difference:
a. ∗ +56a+49
b. 25a^2+ ∗ + 1/4^2
c. 0.01b^2+ ∗ +100c^2
Click here to see answer by josgarithmetic(39613)

Question 1122868: if x<=5 and x < a, find the value of a, so that solution is (-infinity, 5]
Thanks
Click here to see answer by ikleyn(52754)

Question 1122938: n-2 1/2>1/2
Click here to see answer by 22159(3)

Question 1122938: n-2 1/2>1/2
Click here to see answer by ikleyn(52754)

Question 1122947: 8<5/8+r
What does r equal?
Click here to see answer by 22159(3)

Question 1122947: 8<5/8+r
What does r equal?
Click here to see answer by josgarithmetic(39613)

Question 1122947: 8<5/8+r
What does r equal?
Click here to see answer by ikleyn(52754)

Question 1122960: How to write the statement in terms of inequalities?
1. W is positive and is less than or equal to 17
2. Y is at least 2 units from pi
Click here to see answer by josgarithmetic(39613)

Question 1122960: How to write the statement in terms of inequalities?
1. W is positive and is less than or equal to 17
2. Y is at least 2 units from pi
Click here to see answer by Boreal(15235)

Question 1123110: Parts for an automobile repair cost $174. The mechanic charges $34 per hour. If a person receives an estimate for at least $225 and at most $361 for fixing the car, what is the time interval that the mechanic will be working on the job?

Click here to see answer by Boreal(15235)

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