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2 votes
Solve -9 < 4x + 3 ≤ 11.

2 Answers

1 vote

Answer:

-3 < x ≤ 2

Explanation:

Subtract 3 from all parts of the compound inequality:

-9 - 3 < 4x + 3 - 3 ≤ 11 - 3

-12 < 4x ≤ 8

Divide all parts of the compound inequality by 4:

-12/4 < 4x/4 ≤ 8/4

-3 < x ≤ 2

User Shadowwalker
by
8.5k points
6 votes

Answer:


-3 < x \le 2

Explanation:


-9 < 4x + 3 \le 11

↓ subtracting 3 from all sides


-9 - 3 < 4x \le 11 - 3

↓ simplifying


-12 < 4x \le 8

↓ dividing all sides by 4


-12/4 < 4x/4 \le 8/4

↓ simplifying


\boxed{-3 < x \le 2}

User Cachius
by
8.5k points

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