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1. Solve the compound inequality. You do not need to graph the solution.

1. Solve the compound inequality. You do not need to graph the solution.-example-1
User Kmandov
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1 Answer

4 votes

Answer:

9 ≤ x ≤ 7

Explanation:

2x – 3 ≤ 11 or –8x – 10 ≤ – 82

We shall determine the value of x in both case.

2x – 3 ≤ 11

Collect like terms

2x ≤ 11 + 3

2x ≤ 14

Divide both side by 2

x ≤ 14/2

x ≤ 7

–8x – 10 ≤ – 82

Collect like terms

–8x ≤ – 82 + 10

–8x ≤ – 72

Divide both side by –8

x ≤ – 72 / –8

x ≥ 9 (since we divided by a negative sign)

9 ≤ x

Combining both answers

x ≤ 7

9 ≤ x

Thus,

9 ≤ x ≤ 7

User Ben Collins
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