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Solve the following inequality

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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

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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.

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The inequality is image.

Multiply each side by negative one and flip the symbol.


Product of two same signs is positive.


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


Cancel common terms.


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


Cancel common terms.



The solution set is image.

answered May 30, 2014 by lilly Expert

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