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5) 3 < 2x – 3 < 11


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2 Answers

2 votes

Answer:

3<x<7

Explanation:

if a < u < b then a<u and u<b

3<2x-3 and 2x-3<11

3<2x-3 x>3

2x-3<11

x<7

x>3 and x<7

User Eduardo Leal
by
4.9k points
5 votes

Let's solve your inequality step-by-step.

3<2x−3<11

3+3<2x−3+3<11+3(Add 3 to all parts)

6<2x<14


(6)/(2) <
(2x)/(2) <
(14)/( 2) (Divide all parts by 2)

Answer: 3<x<7