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Solve!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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|4x-11| < 5

inequalities

asked Aug 6, 2013 in ALGEBRA 2 by harvy0496 Apprentice

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1 Answer

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The absolute inequality is | 4x - 11 | < 5.

Case 1 : 4x - 11< 5.

Add 11 to each side.

4x < 16

Divide each side by 4.

x < 4.

Case 2 : 4x - 11 > - 5.

Add 11 to each side.

4x > 6

Divide each side by 4.

x > 3/2.

Therefore, the solution of the inequality is { x | 3/2 < x < 4 }.

answered Aug 9, 2014 by lilly Expert

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