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

Tutors Answer Your Questions about Inequalities (FREE)

Question 285632: One side of a triangle is 2 cm shorter than the base. The other side is 3 cm longer than the base. What lengths of the base will allow the perimeter to be greater than 19 cm? Show your work and explain your answer.
Click here to see answer by richwmiller(9143)

Question 285782: If x^3 < x < 1/x then x could be equal to
A.1 B. 5 C. 6/5 D. 1/5 E. None of these.
Click here to see answer by Grinnell(63)

Question 285865: 3. The yearly cost T, in thousands of dollars, of tuition and required fees at a private college (includes two- and four-year schools and does not include room and board) can be approximated by where n is the number of years since 1985. That is, corresponds to 1985, corresponds to 1990, and so on. Show your work and explain each answer.
Source: Statistical Abstract of the United States, 2003
a. Find the cost of tuition in 1985, 1996, 2000, and 2004.
b. Graph the equation and then use the graph to estimate the cost of tuition in 2005.

c.Predict the year in which the cost of tuition will be $23,000. Explain your answer.

4.Show that the ordered pairs (-4, -3) and (-1, 3) are solutions of the equation . Then use the graph of the straight line containing the two points to determine another solution. Show your work and explain your answer.

Click here to see answer by stanbon(57377)

Question 285867: One side of a triangle is 2 cm shorter than the base. The other side is 3 cm longer than the base. What lengths of the base will allow the perimeter to be greater than 19 cm? Show your work and explain your answer.

Click here to see answer by stanbon(57377)

Question 286128: what is the volume of a cube whose sides measure (-9kx3)? please help me with this question and thank you for taking the time to assist me! :)
Click here to see answer by user_dude2008(1861)

Question 286129: Please help me solve this: what is the area of a rectangle that has a length of (4x2) and a width of (x3)3? thank you very much I really need help because the band has competition in 2 days and I cant go unless im passing by then... no pass no play is the law in texas. Thanks again and (the 3s are exponets by the way)
Click here to see answer by checkley77(12569)

Question 286348: (x-4)square. how du u factor it?
Click here to see answer by richwmiller(9143)

Question 286466: -3 -2y>9

Click here to see answer by jim_thompson5910(28595)

Question 286713: Do the following equations represent parallel lines? Why (or why not)? 2y=3x+4 and 2y=3x-4
3y=4x-1 and 4y=-3x-1
Click here to see answer by richwmiller(9143)

Question 286882: Describe what the graph of interval [-6, 11] looks like.
HAving trouble understanding this.
Click here to see answer by jim_thompson5910(28595)

Question 287302: Solve this problem.
Is 5 a solution for:
5X < 37

Click here to see answer by richwmiller(9143)

Question 287682: how do you figure this out?
if m(v)=-0.02v^2+2.4v-39.5, what speed will produce the maximum miles per gallon?
Click here to see answer by richwmiller(9143)

Question 287692: 8 x > 33
Click here to see answer by user_dude2008(1861)

Question 287574: x-2 all over the absolute value of x+3 is all less than or equal to 0.
Click here to see answer by edjones(7569)

Question 287879: Find all the possible real numbers of x that satisfy the inequality:
x-1/x+2 >2
*I understand the question its just wherther or not you multiply both sides etc and how i am going to judge at the end all the real numbers for x.
Thank you.
Click here to see answer by richwmiller(9143)

Question 287999: 14x -12<-68
Click here to see answer by vleith(2825)

Question 287959: What are the values of "A" and "B" if A(2x-3) + B(x+2) = 5x-11
Click here to see answer by jim_thompson5910(28595)

Question 287039: The solution set of [3x+2]<1 contains only
(a)negative real numbers
(b) positive numbers-i believe its this one
(c)both positive and negative real numbers
(d)no real numbers
Thank You
Click here to see answer by richwmiller(9143)

Question 288017: A marketing group developing online ad space is offering two payment options:
Option 1: $210 set up fee plus $10/inch of ad
Option 2: No set up fee plus $25/inch of the ad
Let x = inches of proposed ad, for example, x=2 for a column ad that is 2"
a) Write a mathematical model representing the total ad cost, C, in terms of x for the following
Option 1: C=__________
Option 2: C=__________
I came up with the answer Option 1 being $14.00 and Option 2 being $15.00 is that correct???
Part b) How many of ad space would need to be purchased for option 1 to be less than option 2? Set up an inequality and show your work algebraically using the information in part a. Summarize your findings in a brief sentence.
Click here to see answer by Deina(147)

Question 288217: Please help me with this please:
Tracy wants to purchase custom-made bumper stickers to advertise her business. Two websites offer different deals:
Website A: Pay a fee of $127.00, plus $0.45 per bumper sticker
Website B: Pay a fee of $100.00, plus $0.60 per bumper sticker.
At least how many bumper stickers must Tracy purchase in order for Website A to be the better choice?
Write an appropriate inequality and solve it algebraically.
Click here to see answer by jaydducote(11)

Question 288214: Please help me with this please:
Tracy wants to purchase custom-made bumper stickers to advertise her business. Two websites offer different deals:
Website A: Pay a fee of $127.00, plus $0.45 per bumper sticker
Website B: Pay a fee of $100.00, plus $0.60 per bumper sticker.
At least how many bumper stickers must Tracy purchase in order for Website A to be the better choice?
Write an appropriate inequality and solve it algebraically.
Click here to see answer by Deina(147)

Question 288312: Determine whether the given numbers are soultions of the inequality.
2, -16, -10, -3
y-11>2y-2
Thank you
Click here to see answer by dabanfield(803)

Question 288555: I need help on this problem. My answer is no solution, please confirm.
x^2 -x > -12
Click here to see answer by AnlytcPhil(1277)

Question 288556: solve and write in interval notation.
I already got an answer to this problem, but I just want to make sure.
Here is the problem:
-2 < -4x + 6 _< 10
The _< means less than or equal to.
my answer is 2>x_> -1
Please confirm. Thanks...
Click here to see answer by Edwin McCravy(8909)

Question 288551: 4x-9>=-1/7+8
Click here to see answer by checkley77(12569)

Question 288717: I have to use the critical value method solve the rational inequality.
Problem:
I have no clue what the formula is to solve this. Any help is appreciated, thank you!! In the mean time, I'll keep sorting through the lessons on this site to see if I can find the one that pertains to this type.
Click here to see answer by texttutoring(324)

Question 288819: A wire, 224 cm long, is cut into three pieces. The first is twice as long as the second. The third is one-half as long as the second. How long is the second piece?
Click here to see answer by stanbon(57377)

Question 288882: whatis the factor of 3x2+7x+2
Click here to see answer by stanbon(57377)

Question 288885: Which of these equations are equivalent to 16?
3[7x-4(x-3)]+1=16
A:9x-2=16
B:9x+37=16
C:17x-2=16
D:17x+13=16
I already know the answer, but how do I find out which one it is? Can you show me please? The correct answer is B, Here is what I got so far.
3[7x-4(x-3)]+1 Rewrite problem.
3[7x-4x+12]+1 Distribute the -4
3[3x+12]+1 Combine like terms.
That's as far as I got, I do not know where to come from here. Thank you for your time to help me.
Click here to see answer by richwmiller(9143)

Question 288990: Can anyone help me solve the following?
How do I find the values of x satisfying the following inequality?
(x-1)(x+5) >0
Help with steps and full working would be great.
Thanks!
Click here to see answer by nyc_function(2733)

Question 289090: solve and graph
4<3x+1<25
Click here to see answer by jim_thompson5910(28595)

Question 289023: I already have an answer which is no solution, but I need someone to confirm it.
Write answers in:
1) inequality form
2) graph on number line
3) interval notation
Here is the problem:
x^2 - x > - 12
Thanks...
Click here to see answer by jim_thompson5910(28595)

Question 289229: 4x+5<2(x-1)
Click here to see answer by jim_thompson5910(28595)

Question 289387: The absolute value of is less than and equal to 3. Solve the inequality, express your answer in interval notation.
Click here to see answer by Edwin McCravy(8909)

Question 289405: how can you quickly solve for a boundary point? and what is the boundary point for 3-2x<1?
Click here to see answer by richwmiller(9143)

Question 289629: Solve the inequality for x:
6 - 3x ≥ 15
Click here to see answer by jim_thompson5910(28595)

Question 289818: Solve
-12<=3x-7<=-6
Thank you
Click here to see answer by richwmiller(9143)

Question 289850: Solve the inequality (2x + 8)(18 - 3x) > 0 for x.
Click here to see answer by richwmiller(9143)

Question 290397: please help if possible: if twice a number decreased by 3 is greater than 24, what is the smallest integer that will satisfy this condition?

I set up an inequality:
2x-3>24
2x>27
x>27/2
Thank you!
Click here to see answer by richwmiller(9143)

Question 290470: how would you solve inequalities with fraction and parenthese like this
2/3(a+2)<7/3(a+2)+5
Click here to see answer by richwmiller(9143)

Question 291013: -5(X+3) < -5X+1 i Get stuck because I can't solv3e for x since there is -5x on both sides.
Click here to see answer by jim_thompson5910(28595)

Question 291859: x2-21=4x

Click here to see answer by checkley77(12569)

Question 292364: Describe what the graph of interval [-4,10] looks like.

Click here to see answer by Edwin McCravy(8909)

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