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

107,834 users

Solve the following inequality

0 votes
Solve the following inequality and write your solution using set builder notation.

-6/25x is greater than or equal to -5/3
asked Nov 1, 2013 in ALGEBRA 1 by homeworkhelp Mentor

2 Answers

0 votes

Given inequality is

-6/25x ≥ -5/3

Apply multiplication property, multiply 25x toeach side.

(-6/25X)25x ≥ (-5/3)25x

-6 >= -125x/3

Apply multiplication property, multiple by 3 to each side.

(-6)(3) ≥  (-125x/3)(3)

-18 ≥ -125x 

 -18/-125 ≥ x multiply with negative one and do not forget to change the inequality symbol

x ≥ 18/125

Set builder notation  {x belongs to R / x 18/125}

answered Nov 1, 2013 by william Mentor
edited Nov 1, 2013 by moderator

The solution set of the inequality is image.

0 votes

The inequality is image.

Multiply each side by negative one and flip the symbol.

image

Product of two same signs is positive.

image

Apply multiplication property of inequality : Multiply each side by  25.

image

Cancel common terms.

image

Apply division property of inequality : Divide each side by  6.

image

Cancel common terms.

image

image.

The solution set is image.

answered May 30, 2014 by lilly Expert

Related questions

asked Oct 29, 2013 in ALGEBRA 1 by andrew Scholar
...