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

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Tutors Answer Your Questions about Inequalities (FREE)


Question 204760: Two full juice boxes weigh as much as 18 grapes and one half-full juice box. An empty juice box weighs as much as 6 grapes. A full juice box then weighs as much as how many grapes? How much does the contents of one juice box, without the box, weigh in grapes?

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Question 204743: Solve the inequality
[4x-3]<5
In this problem the < has a line below it.

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Question 204875: Ike’s age is three years more than twice his younger brother’s age. If the sum of their ages is at most 18, then find:
(a) the greatest age that Ike’s brother could be.
(b) an inequality that represents all possible values of Ike’s age (allowing for fractional years), given that his younger brother is at least 2 years old.

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Question 204908: Please help me solve this inequality
!4x-3!<5
The < has a line below it...

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Question 205272: Christian D'Angelo has scores of 68, 65,75, and 78 on his algebra tests. Use a compound inequality to find the scores he can make on his final exam to received a C in the course. The final exam counts as two tests and a C is received if the final course average is from 70 to 79.
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Question 205542: Why does the inequality sign change when both sides are multiplied or divided by a negative number?
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Question 205635: 7-8y>5-7y
Please help me solve this.
Thanks!

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Question 205790: John Bought a computer scanner and supplies for $215.70,which will allow him to scan images for $0.34 each. A computer charges $0.59 to scan each image. How many images must John scan before his total cost is less than getting scanned images at the computer center?
(A) John must scan more than 863 images
(B) John must scan more than 862 images
(C) John must scan more than 788 images
(D) John must scan more than 768 images

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Question 206007: Please help me with this inequality,
Determine whether the given numbers -9,2,6,18 are solutions for
x-2 is greater than or equal to 8
Thanks

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Question 206076: 2/3 (2x - 1) < 6
I got an answer of x <5, is that correct? If not, please show me the correct way.

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Question 206078: 21/20x + 1/20x = 9x + 1/10 + 19/20x
I got an answer of - 88 and 1/2. Is this correct? If not, please show me what is.

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Question 206075This question is from textbook
: The formula R= - 0.0065t + 4.3222 can be used to predict the world record, in minutes, for the 1-mi run t years after 1900. Determine in terms of an inequality) those years for which the world record will be less than 3.7 minutes.
I have tried working this problem numerous ways. I just do not know what I am missing. Please help.
This question is from textbook

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Question 206106: The coolant in Tom's car is effective for radiator Temperatures of less than 80 degress Celsius. What would be the corresponding temperature range in degrees Fahrenheit? (use C=5/9(f-32) in your inequality.)
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Question 206155: If you replace the equal sign of a equation with an inequality sign, is ther evert time when the value will be a solution to both the equation and the inequality. Write an inequality and provide a value that may or may not be a solution to the inequality.
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Question 206249: Approximately 30% of the land on Earth is forested, but this percent is
decreasing due to construction. Write an inequality for this situation

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Question 206326: Must there always be a variable involved when solving an inequality?
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Question 206353: Can someone please help me solve these problems, x/14-85>6 and 23>12-x/9? I have no idea how to solve these inequalities, and it would be greatly appreciated if you could help me solve them. thanks.
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Question 206353: Can someone please help me solve these problems, x/14-85>6 and 23>12-x/9? I have no idea how to solve these inequalities, and it would be greatly appreciated if you could help me solve them. thanks.
Click here to see answer by vleith(1977) About Me 

Question 206563This question is from textbook Let's review integrated algebra
: A class of 43 students is to be divided into committees so that each student serves on exactly one committee. Each committee must have at least 3 students and at most 5 students. How do I determine which inequality would represent the possible number of committees, X, that could be formed?This question is from textbook Let's review integrated algebra

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Question 206917This question is from textbook
: A professor announces that course grades will be computted by taking 40% of a student's project score (0-100 points) and adding 60% of the student's final exam score (0-100 points). If a student gets an 86 on the project, what scores can she get on the final exam to get a course grade of at least 90?This question is from textbook

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Question 206914: Solve.
A. x^3-16x>0
B. x^2-5x
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Question 206914: Solve.
A. x^3-16x>0
B. x^2-5x
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Question 206989: Solve the inequality
-2 < 1 - x < 3

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Question 207101: Henry’s MP3 player has 512MB of memory. He has already downloaded 287MB and will continue to download m more megabytes. Write an inequality that shows how many more megabytes he can download
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Question 207043This question is from textbook Elementary and intermediate algebra
: I am asked to solve the following inequalities and state the solution set using the interval. I am totally lost. Would you please explain to me how to solve these two inequalities step by step so I can understand how they work. Thank you!!
a. 3x-x^2>0
b. (x+3)/x<=2
This question is from textbook Elementary and intermediate algebra

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Question 207146: Jenny wants to utilize a portion of her garden for growing flowers. Being a designer herself, she visualizes a triangular area with different lengths for each side. For this Jenny decides to keep a side of the triangular area 3 feet shorter and the other 2 feet longer than the third side. She also wants to restrict the perimeter of the triangular area to 32 feet, so that it does not cover a huge area of the garden. Determine the maximum length of each side of the triangular area that Jenny has visualized.
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Question 207284: solve -x + 2y = -2
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Question 207433: set notation and graph it:-2(3+x)<4x+4<8x
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Question 207603: what are the real values of x that are solutions for the inequality |x-2|_< 6
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Question 207673: 3<=4+3x/2<=2
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Question 207678: How would you put -7(3x-7)+21x >or= 50 on a number line?
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Question 207716: Solve:
-7 ≤4x-2≤-1
The solution is {xǀ ? ≤ x ≤ ?}.

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Question 207951: You are in the market for a new home. You're looking at a housing community. As you leave the housing community, you notice another new community just down the road. Because you're in the area, you decide to inquire about it.
a) The sales rep. here tells you they have two floor plans available, but only have 38 homes available. Write an equation that illustrates the situation. Use x and y to denote floor plan #1 and floor plan #2, respectively.
b.) The representative tells you that floor plan # 1 sells for $175,000 and floor plan # 2 sells for $200,000. He also mentions that all the available homes combined are worth $7,200,000. Write an equation that illustrates this situation. Use the same variables you used in part a).
c.) Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer.

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Question 208036: How do you solve the following:
-1 < (2-x)/(2+x) <(less than or equal to) 1
I tried doing them separately but I don't get the answer. The answer is supposed to be x is greater than or equal to 0.

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Question 208106: when you solve linear equations do you have to add {} to your final answer?
for example:
3x+7>28
..-7.-7
3x>21
/3./3
x>7 --this would be the answer, corrert, but the FINAL ANSWER would be
{x|x>7}
is this correct or is this only added to absolute value inequalties?




the problem was from the book :algebra 2 by mcdougal littell
it was on page 941 question number 41

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Question 208129:
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Question 208191: 2y-9>5y+12
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Question 208185: |2x-4|<6
does this mean (2x-4)<6 or does it mean something else?
thanks
Homework Mom
Jackie

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Question 208245: Please help me solve this inequality. I have tried and tried.
3/4 is a fraction
<= is less than or equal to
3/4<=2x+7<12
thanks!

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Question 208358: how would i write the answer to this problem:
1/x-8 > 7
in interval notation?

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Question 208601: To solve for q:
q/9+10>18






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Question 208941: 3t>6t+12
I'm trying to help my son with his algebra and it's been a long time since I've done this. I'm pretty sure I have to get the t's on one side. I tried dividing by 3, but that didn't seem to get me any closer.

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Question 209139: Word Problem:
Find the lesser of two consecutive integers whose sum is greater than 16.

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Question 209139: Word Problem:
Find the lesser of two consecutive integers whose sum is greater than 16.

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Question 209340: I need assistance solving these inequalities. Thank you!
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Thank you in advance!

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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