Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

120,997 users

Solve the inequality x^2-5x-24<0

0 votes
please show work
asked Apr 3, 2013 in ALGEBRA 1 by anonymous Apprentice

1 Answer

+1 vote

 

The inequality x^2-5x-24<0 has to be solved.

x^2-5x-24<0

=> x^2 - 8x + 3x - 24 < 0

=> x(x -8) + 3(x - 8) < 0

=> (x + 3)(x - 8) < 0

This is possible when either of the following are true:

  • x + 3 < 0 and x -8 > 0

=> x < -3 and x > 8

This is not possible

  • x + 3 > 0 and x - 8 < 0

=> x > -3 and x < 8

x in (-3, 8)

The solution of the inequality is the set (-3, 8)

source: http://answers.yahoo.com/

answered Apr 3, 2013 by Naren Answers Apprentice

Related questions

...