-16-3|2x-5|>-49

Question

Findeed the absolute inequality of x

Answer 1

-16 -3|2x - 5| > -49

-3|2x - 5| > -33 add 16 to both sides

|2x - 5| < 11 divide both sides by -3; switch direction of inequality

-11 < 2x - 5 < 11 transform absolute value to inequality

-6 < 2x < 16 add 5 to both sides of inequality

-3 < x < 8 divide both sides of inequality by 2