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

Tutors Answer Your Questions about Inequalities (FREE)

Question 37535: I need to find the GCF of 6, 18, and 30 and I also need to find the LCM for 4 and 20. Can someone help please?
Thank you and have a great day!!
Click here to see answer by fractalier(2101)

Question 37811: 7x < 8 - 3x <6+7x
Click here to see answer by fractalier(2101)

Question 37869: How do I solve x > 6x - 10 and what is the answer?
Click here to see answer by benni1013(197)

Question 38227: *write an inequalities that corresponds to each statement.
x is less than y. _______
*tell hether statement is tue or false.
-5<-2
*solve each inequality
x+3<4
Click here to see answer by stanbon(57395)

Question 38472: Could you help me figure this problem out I have worked hard and Ican't get the steps or the answers
Click here to see answer by hellyeah(21)

Question 38479: x2-3x+1=0
Click here to see answer by stanbon(57395)

Question 39031: Solve the inequality and express the solution in interval notation:
x^2 - 6x + 11 <18
Click here to see answer by stanbon(57395)

Question 39079: I need your help please.
The number of senior citizens (65 and over) in the United States in millions n years after 1990 can be estimated by using the formula.
s=0.038 + 31.2
(US Bureau of the Census) The percentage of senior citizens living below level n years after 1990 can be estimated by using the formula.
p=0.25n + 12.2
a. How many senior citizens were there in 2000?
b. In what year will the percentage of seniors living below the poverty level reach 7%.
c. What is the first year in which can we expect both the number of seniors to be greater than 49 million and fewer than 7% living below the poverty level.

Thank you.

Click here to see answer by AnlytcPhil(1278)

Question 39024: This is from Dr. Rapalje's Intermediate Algebra book. Page 81, #8
Solve the inequality. Give answer in interval notation.
-8 - 3(X - 4) < 3(6 - X)
I ended up with x < 14
The answer is (-oo, oo)
I have no idea how he came up with that answer. Thanks!
Click here to see answer by fractalier(2101)

Question 39165: seven times a number is less than 84
Click here to see answer by Nate(3500)

Question 39347: This one has me floored and there are no other similar problems to compare it to. I bet it is REALLY simple, but I cannot figure out how to start it. Please help, and thank you!
PROBLEM:
The cost for a long distance telephone call is $0.36 for the first minute, and .21 for each addtional 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 checkley71(8403)

Question 39368: x+33/x+3 is greater than or equal to 7....could you please solve this and show how to work it out
Click here to see answer by Nate(3500)

Question 39383: Find the midpoint of the line segment PQ for P(4, -3), Q(2,7)
Click here to see answer by longjonsilver(2297)

Question 39384: If M (5,2) is the midpoint of segment PQ and the coordinates of Q are (3,-3), find the coordinates of P.
Click here to see answer by fractalier(2101)

Question 39486: A small firm produces both AM and AM/FM car radios. The AM radios take 15h to produce, and the AM/FM radios take 20h. THe number of production hours is limited to 300h 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. X = number of AM radios and Y = number of AM/FM radios.
Click here to see answer by Nate(3500)

Question 39523: 4. Find the midpoint between these points:
(2, 7) and (-4, 1)

Click here to see answer by stanbon(57395)

Question 39522: 2. Solve for x:
11x + 3 – 13x – 7 < 2(5 – 4x)

Click here to see answer by stanbon(57395)

Question 39528: 1. Solve for x:
2(x + 3) > 20
Click here to see answer by checkley71(8403)

Question 39528: 1. Solve for x:
2(x + 3) > 20
Click here to see answer by fractalier(2101)

Question 39527: Fill in the chart given this linear equation:
2x + y = 42.
x y
-2
-1
0
1
2
Click here to see answer by fractalier(2101)

Question 39518: . Fill in the chart given this linear equation:
2x + y = 42.
x y
-2
-1
0
1
2
Click here to see answer by fractalier(2101)

Question 39550: The linear equation x = -1 graphs as a horizontal/vertical/diagonal line (choose the correct label and type it below).
Click here to see answer by fractalier(2101)

Question 39545: Solve the following inequalities:
A)
B)
C)
Click here to see answer by Nate(3500)

Question 39658: Write an inequality that contains both of the solutions of the equation? 4x=7+2/x
Click here to see answer by stanbon(57395)

Question 39673: Solve the following system of linear inequalities by graphing.
3x - y < 2 and x + y > 2
I can come up with several solution sets for both, but none for a consistent system. Any suggestions?
Click here to see answer by josmiceli(9697)

Question 39827: bob has $3 more than Carol, and Carol has twice as much as Leon. Together they have $108. How much does each person have?
Click here to see answer by atif.muhammad(135)

Question 39854: what is the domain of function y=squaroot of x2-9
show answer in two different ways
a. algebraic solution
b. graphical solution
Click here to see answer by fractalier(2101)

Question 39876: X/3 + 1/6 (less than or equal to) 2x + 3/2
Click here to see answer by stanbon(57395)

Question 39876: X/3 + 1/6 (less than or equal to) 2x + 3/2
Click here to see answer by fractalier(2101)

Question 39878: (2+3i)(1-i)=
Click here to see answer by stanbon(57395)

Question 39877: (x-2)(x-5)<0
Click here to see answer by fractalier(2101)

Question 39877: (x-2)(x-5)<0
Click here to see answer by stanbon(57395)

Question 39879: which one defines a function?
1. y=x-1 2. y^2=4-x^2 3.y=square root of x
Click here to see answer by stanbon(57395)

Question 39882: 10 ^ log10(100)
Click here to see answer by fractalier(2101)

Question 40233: Rewrite the statement so the inequality symbol point the opposite direction.
5 £ 14
Click here to see answer by fractalier(2101)

Question 40422: -2x^2+7x-10<=(-3)x+2
Possible answers
a. (-inf,-3) U (-2,+inf)
b. (-inf,2) U (3, inf)
c. (-3,-2)
d. (2,3)
Click here to see answer by fazlerabbi(9)

Question 40417: x^2 (x-2)(x+1) ≥0
Answer: (-∞, -1] or {0} or [2, ∞)
solution?
Click here to see answer by Nate(3500)

Question 40457: please help!!
If 100C^2 has a value of 4,950, what is the value of 100C^98?
I thought it would be that 2475*98 would give me the answer but that wasnt an option
Click here to see answer by Nate(3500)

Question 40619: Could someone please help me to understand how to solve this type of problem? I just cannot seem to get it.
Solve each rational inequality and state the solution set using interval notation.

a__
a + 2 >0
(I can't get it to post correctly, a is over a + 2 and both together are suppose to be >0)

Click here to see answer by junior403(76)

Question 40620: Solve each rational inequality and state the solution set using interval notation.
x + 3/x lessthan or eqaul to -2

(I don't know why this dosen't post right. x + 3 over x is lessthen or eqaul to -2)
Click here to see answer by junior403(76)

Question 28339: whats the anwser to -3z<-27
Click here to see answer by tran3209(100)

Question 40694: |5 – x| ≤ 4
Click here to see answer by abcdefg(37)

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)

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