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

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Tutors Answer Your Questions about Inequalities (FREE)


Question 156601: ((1-x)/5)+ ((x+5)/3) is greater than or equal to 3/5
I'm not sure how to solve this being that there is no least common denominator. I also need it in interval notation.

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Question 156601: ((1-x)/5)+ ((x+5)/3) is greater than or equal to 3/5
I'm not sure how to solve this being that there is no least common denominator. I also need it in interval notation.

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Question 156640: Determine whether the ordered pair is a solution of the inequality.
(6,16) 4y-5x>5

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Question 156642: Use the set builder notation to describe the complete solution.
7/4(3x-1/2)-4/3<5/3

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Question 156642: Use the set builder notation to describe the complete solution.
7/4(3x-1/2)-4/3<5/3

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Question 156680This question is from textbook Intermediate Algebra
: "Use the Addition Property and/or Multiplication Properties to find a and b. If -3 < x < 4, then a < x + 4 < b."
I have tried substituting the "if" equation in for x in the "then" equation, but just can't seem to get anywhere. The back of the book indicates that the correct answer is a=1 and b=8. I can't figure out how to move from an inequality to an answer with an equality.
This question is from textbook Intermediate Algebra

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Question 156778This question is from textbook
: Sam invested part of his $10,000 bonus in a fund that paid an 11% profit and invested the rest in stock that suffered a 4% loss. Find the amount of each investment if his overall net profit was $650.00.
I have the answer in the back of the book, I just need help setting up the formula.
Thank you.
This question is from textbook

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Question 156822This question is from textbook Glencoe Algebra 2
: . I tried to answer it by multiplying by the recipricals of the equation. When I did that, I got . Then I subtracted the 1 and got . After that,I subtracted 7 from both sides. When I did, I got as my answer. I don't know if that is right.This question is from textbook Glencoe Algebra 2

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Question 156822This question is from textbook Glencoe Algebra 2
: . I tried to answer it by multiplying by the recipricals of the equation. When I did that, I got . Then I subtracted the 1 and got . After that,I subtracted 7 from both sides. When I did, I got as my answer. I don't know if that is right.This question is from textbook Glencoe Algebra 2

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Question 156955: Please Help.
(x+12)(x-1)(x+6)>0
Solve. what is the solution set?

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Question 157186: A long-distance runner can run 6 mph downhill, but her speed is cut to 2 mph when she encounters a hill. If she runs the 6 miles uphill and 6 miles downhill, what is her average speed?
If possible please show the work, i want to understand how to approach the answer. Thank you!

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Question 157249This question is from textbook algebra 1
: 42-13y>15y-19This question is from textbook algebra 1

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Question 157249This question is from textbook algebra 1
: 42-13y>15y-19This question is from textbook algebra 1

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Question 157267: can you show me how to do inqualities using addition and subtraction. for example: -6(4x+3)=-8(10+x)


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Question 157379This question is from textbook
: If student Joe has a course average score above 89, he will earn an A in the course. Suppose his scores are 79, 96, and 84 and his teacher said the final exam is worth twice the weight of the other exams. Write an inequality for the range of scores on the final exam which will result in Joe earning an A?This question is from textbook

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Question 157418: x^2-9/x+1 less than equal to O
I think you would factor out the top part which would be
(x-3)(x+3)/x+1
from there I am completely lost.
Thank you for any help!

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Question 157741: x+2/5>x-1/2
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Question 157750: x+2 over 5 > x-1 over 2
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Question 157867This question is from textbook Prentice Hall Algebra 1
: 9y<81This question is from textbook Prentice Hall Algebra 1

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Question 158017: Different Weights. Professor Williamson counts his midterm as 2/3 of the grade and his final as 1/3 of the grade. Wendy scored only 48 on the midterm. What range of scores on the final exam would put Wendy’s average between 70 and 79 inclusive?


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Question 158087: How do i write this inequality:
Your quiz grades are 19,17,20, and 15. What is the lowest grade you can receive on the next quiz and maintain at least an 18 average?
The inequality does not have to be solved. I think the answer is 71+ x /5 >=18.
Is this correct and how do i solve inequalities like this?

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Question 158101: Inequality word problem:
You must work for at least 80 hours in this course to complete the requirements. Some of that will be testing time, and some will be for assignments. You have 18 tests that take from 1/2 hour to 2 hours each to complete. You have 110 assignments that take between 1/2 hr and 1 hour to complete.
Write the five inequalities involved.
I'm not sure if my inequalities are correct. I think the answers are:
9<=x<=36
55<=y<=110
x+y>80
If they are correct how do i graph them?

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Question 158174This question is from textbook Algebra and Trigonometry: Structure and Method, book 2
: The three sides of an equilateral triangle are increased by 20 cm, 30 cm, and 40 cm, respectively. The perimeter of the resulting triangle is between twice and three times the perimeter of the original triangle. What can you conclude about the length of a side of the original triangle?This question is from textbook Algebra and Trigonometry: Structure and Method, book 2

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Question 158175This question is from textbook Algebra and Trigonometry: Structure and Method, book 2
: During the first 20 mi of a 50mi bicycle race, Toger's average speed was 16 mi/h. Must must his average speed be during the remainder of the race if he is to finish the race in less than 2.5 hours?This question is from textbook Algebra and Trigonometry: Structure and Method, book 2

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Question 158208: This year the high school basketball team won three more games than any team in the previous ten years. However, this was still fewer than the school record of 18 games. What was the greatest number of games won during any of the previous years. Find the inequality and solution
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Question 158220: Solve each inequality. Graph the solutions.
|x+5|>12

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Question 158236This question is from textbook Intermediate Algebra for College Students
: (Book asks first to setup an inequality that can be used to solve the problem, then solve it to find the desired value)
Long Distance: The telephone long-distance carrier Telecom-USA, which markets itself as 10-10-220, charges customers $0.99 for the first 20 minutes and then $0.07 for each minute (or any part thereof) beyond 20 minutes. If Patricia Lanz uses this carrier, how long can she talk for $5.00?
This question is from textbook Intermediate Algebra for College Students

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Question 158239: Solve each inequality. Graph the solutions.
5|2b+1|-3< 7
-
the < is like 7 is greater than or equal to
-

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Question 158280: Solve using the addition and multiplication principles.
3.5x+23.6 > 59.0-8.3x

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Question 158225: Solve each inequality. Check for extraneous solutions.
|4x|=28


also...



|6x+7|=5x+2

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Question 158444: solve for u:
mu=q

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Question 158510: A-5>12
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Question 158448: solve for z:
z-f=g

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Question 158446: solve for z:
ya+uz=rs

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Question 158445: solve for m:
mf+pg=cw

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Question 158439: Solve for q:
h=qbm

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Question 158441: Solve for q:
g+q=r

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Question 158443: solve for h:
w-h=v

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Question 158760: 2x-8>4x+1
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Question 158864This question is from textbook college algebra
: 3/(2x-1) is greater than -4/xThis question is from textbook college algebra

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Question 159063: a + 4 < 14
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Question 159128: Ziggy's famous yogurt blends regular yogurt that is 3% fat with its no fat yogart to obtain 1%fat. How many pounds of no fat yogurt should be mixed to obtain 60 pounds of low fat yogurt?
0.03x + 0.0y= 60
0.03x=60
x=60/0.03
x= 20 pounds
I am not sure if this is the way to set up the problem, please help

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Question 159159: A drama club's production of "Oklahoma!" is going to cost $1,250 to produce. How many tickets will they need to sell for $8.00 each to make a profit of at least $830.00?
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Question 159162: Explain the difference between a logarithm of a product and the product of logarithm. Please give examples
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Question 159201: I need help on how to solve these problems.

1. 21=7x less than or equal to 7(3+x)

2. 9(w+2) < 9w +17

3. 13(r+1) < 13r-6

4. 2a-16 greater than or equal to 2a-17

5. 3t-12 > 3t+2
6. 2-3g+7 greater than or equal to 3(2-g)

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