Solve each inequality and give the solution in interval notation

Solve each inequality and give the solution in interval notation:

5-3 |2 x+8| lt -22

 

-7-2 |7 x-5| gt -9

in Algebra 2 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

5 - 3abs(2x+8) < -22

-3abs(2x+8) < -27

abs(2x+8) > 8

2x + 8 > 8 or 2x + 8 < -8

2x > 0 or 2x < -16

x > 0 or x < -8

.

-7 - 2abs(7x-5) > -9

-2abs(7x-5) > -2

abs(7x-5) < 1

-1 < 7x -5 < 1

4 < 7x < 6

4/7 < x < 6/7
by Level 13 User (103k points)

Related questions

2 answers
solve and give answer using interval notation
asked Aug 24, 2012 in Algebra 1 Answers by cope3537 Level 1 User (160 points) | 2.2k views
1 answer
y=x^4-10x^2+9 solution set in interval notation
asked Nov 24, 2013 in Algebra 1 Answers by shell | 651 views
1 answer
solve for solution of 9/10x>9
asked Feb 16, 2013 in Pre-Algebra Answers by anonymous | 825 views
1 answer
solve the inequality, solution in interval notation.
asked Jan 3, 2012 in Calculus Answers by crazyrazey Level 1 User (780 points) | 1.3k views
1 answer
How do I write 13/2<x in interval notation?
asked Sep 9, 2012 in Algebra 1 Answers by anonymous | 1.0k views
2 answers
How do I write 13/2 in interval notation?
asked Sep 9, 2012 in Algebra 1 Answers by anonymous | 979 views
1 answer
f(x)=10x+1 interval notation
asked Mar 13, 2013 in Algebra 1 Answers by anonymous | 693 views
1 answer
f(x)=10x+1 interval notation
asked Mar 13, 2013 in Algebra 1 Answers by anonymous | 815 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. Solve 15 -1(12÷4+1)? (4)
  4. 8:4(5+2) (3)
  5. How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line? (1)

Most popular tags

87,516 questions
100,289 answers
2,420 comments
742,512 users