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

Tutors Answer Your Questions about Inequalities (FREE)

Question 40695: 48 ≥ 4x(x-1)
Click here to see answer by Nate(3500)

Question 40732: Question:

Let a < b. Show that (a+b)/2 is the midpoint between a and b on the number line. I think that you use the metric way to slove this but I am not sure as to how to do that. Thanks
Julie
Click here to see answer by Nate(3500)

Question 40775: prob. 94 The cost for a long distance phone call is 0.46 for the first minute,and 0.21 for additional minute or portion thereof.Write an inequality representing the number of minutes a person could talk without exceeding 3.00
Click here to see answer by stanbon(75887)

Question 36859: can anyone please tell me how to graph a function, for example like

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Question 40796: Find the equation, in standard form, with all integer coefficients, of the line perpendicular to 3x – 4y = 9 and passing through (-2, -1).
Click here to see answer by Nate(3500)

Question 40790:
_____________
2 times a number increased by 28, is less than or equal to 6 times that number.

I'm trying to find out the inequality for x is no more then 5
Click here to see answer by Nate(3500)

Question 40625: The directions tell me to Graph the solution set of the give system of inequalities here they are and . Sorry if this doesn't make sense, this is all the directions I have.
Click here to see answer by stanbon(75887)

Question 41001: it says solve the inequality |3w-7|<_2.
Click here to see answer by abcdefg(37)

Question 41130: Solve:
5 < t - 4 < 6

1 < t < 2

9 < t < 10
Click here to see answer by PaulAllen65270(19)

Question 41127: -15 < -5(s - 5)<_ 30
Please select the correct answer:
[-1.8)
(-oo.-1]
(8. oo)
(-1.8]
Click here to see answer by josmiceli(19441)

Question 41159: xsquared-7x+12-7
Click here to see answer by tutorcecilia(2152)

Question 40993: it writes solve the inequality: -2<4z+10<12.
-

Thank you

Click here to see answer by zeynep(43)

Question 40997: it says solve the inequality 2x-5<10 or 33-4x<5.

Thank you
Click here to see answer by zeynep(43)

Question 41771: Can the solution set of the compound inequality x < -3 0r x > 5 be expressed as -3 > X > 5? Please explain.
Click here to see answer by fractalier(6550)

Question 41770: Do the inequalities X < 4 and X^2 < 4^2 both have the same solution set? Please explain. Thanks.
Click here to see answer by fractalier(6550)

Question 41919: A small firm produces both am and am/fm car radios. The am radios take 15 hours to produce, and the am/fm radios take 20 hours to produce.
The number of production hours is limited to a total of 300 hours per week. The plant's capacity is limited to a total of 18 radios per week, and existing orders require that at least 4 am radios and at least 3 am/fm radios be produced per week.
Write a system of inequalities representing this situation.
Then draw a graph of the feasible region given these conditions, in which x is the number of am radios and y is the number of am/fm radios.
Click here to see answer by AnlytcPhil(1806)

Question 42046: you have at least $30.00in change consisting of dimes and quaters. Write an inequality that shows the differant number of coins
Click here to see answer by josmiceli(19441)

Question 42380: solve this inequality
y-12>-15
Click here to see answer by Nate(3500)

Question 42380: solve this inequality
y-12>-15
Click here to see answer by fractalier(6550)

Question 42487: Please help me answer this question. The inequality x^2+1<-5 has no solution,why?
Click here to see answer by Nate(3500)

Question 42590: 5.6x + 2=4.6x
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Question 42623: Solve:
5[3(7-t)-4(8+2t)]-20 <= -6[2(6+3t)-4]
Click here to see answer by tran3209(100)

Question 42794: can ANYONE help
x+3>5x-21
b)
|1+2x|>=5
c)
x^2-x-6>=0
d)
x-1/2-x >= 0
e)
3x+1/2plus 4 < x/2
f)
|1-3x|<5
i got all of them wrong today in class

Click here to see answer by longjonsilver(2297)

Question 43037: solve the inequality -18 divided by 6x-42>0. This one I'm having to much trouble with in the text book. thanks for any help given.
Click here to see answer by josmiceli(19441)

Question 43274: please help if you can
Find the maximum value of
z = 7x + 3y
subject to the contraints
x >= 0
y >= 0
2x + y <= 4
Click here to see answer by fractalier(6550)

Question 43487: Write y=-4x^2+8x-1 in vertex form.

Click here to see answer by stanbon(75887)

Question 43492: Use synthetic substitution to find f(-3) for f(x)=2x^3-6x^2-5x+7.
Click here to see answer by checkley71(8403)

Question 43489: Find: p(-3) if p(x)=x^5+3x^2.
Click here to see answer by checkley71(8403)

Question 43491: Solve: -x^4+200=102x^2.
Click here to see answer by stanbon(75887)

Question 43486: Identify the vertex , axis of symmetry, and direction of opening for
y=2(x+3)^2-5.
Thanks
Click here to see answer by Nate(3500)

Question 43486: Identify the vertex , axis of symmetry, and direction of opening for
y=2(x+3)^2-5.
Thanks
Click here to see answer by venugopalramana(3286)

Question 43488: Graph: y>x^2-2x+1
Click here to see answer by Nate(3500)

Question 43635: Solve the following linear equation. Show all work and check your answer
2.3+6=1.8h-1
Click here to see answer by Nate(3500)

Question 43625: Solve the inequality 2|x-10|less than sign 3, and express the solution as an interval. Thank you!
Click here to see answer by venugopalramana(3286)

Question 43825: solve the inequality -18 / (6x-42) >0
so neg 18 over the equation 6x-42 is greater than zero.
then it asks me to pick from four choices.
a, is (-3) and (infinity)
b. is (7) and (infinity)
c. is ((-infinity,) and (-3)
d. is (neg infinity) and pos (7)

i know that 7 doesn't work because (zero) is not suposed to be a denominator.
which leaves choices a, c. and where we are trying to get above zero
negative infinity to me is the logical choice so that the fraction is neg over neg (a positive) and therefore regardless of how small it is still bigger than zero. so with out doing any math, i get that c. is the correct answer. (i think).
Click here to see answer by stanbon(75887)

Question 43888: A maintenance crew requires between 30 min and 45 min to prepare an aircraft for its next flight. How many aircraft can this crew prepare for flight in a 6-hour period of time?
Click here to see answer by Earlsdon(6294)

Question 43886: For a product to be labeled orange juice, a state agency requires that at least 80% of the drink be real orange juice. How many ounces of artificial flavors can be added to 32 oz of real orange juice if the drink is to be labeled orange juice?
Click here to see answer by stanbon(75887)

Question 43887: A shuttle service taking skiers to a ski area charges $8 per person each way. Four skiers are debating whether to take the shuttle bus or rent a car for $45 plus $.25 per mile. Assuming that the skiers will share the cost of the car and that they want the least expensive method of transportation, how far away is the ski area if they choose to take the shuttle service?
Click here to see answer by stanbon(75887)

Question 43885: A computer bulletin board service charges a flat fee of $10 per month or $4 per month plus $.10 for each minute the service is used. For how many minutes must a person use this service for the cost to exceed $10?
Click here to see answer by checkley71(8403)

Question 44036: Solve each system by addition. Determine whether each system is independent, inconsistent, or dependent
32. 3x-2y=7
-3x+y=5
Click here to see answer by vihits13(20)

Question 44320: Use factoring to solve each equation.
6x^2 + 12x = 0
Click here to see answer by jake_6233(74)

Question 44321: Use the quadratic formula to solve each equation.

x^2 + 3x + 2 = 0
Click here to see answer by fractalier(6550)

Question 44639:
Solve the inequality and graph the solution on a real number line 1/x > 1/(x+3)

Click here to see answer by AnlytcPhil(1806)

Question 44738: Solve each system by addition. Determine whether each system is independent, inconsistent, or dependent.
2x - y = 6
-4x + 2y =9
Click here to see answer by fractalier(6550)

Question 44736: Solve each system by substitution. Determine whether each system is independent, inconsistent, or dependent.
x + 2y =3
2x + y = 5
Click here to see answer by fractalier(6550)

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