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avanturin [10]
3 years ago
11

Rewrite the compound inequality as an absolute value inequality in one variable.

Mathematics
1 answer:
Nataliya [291]3 years ago
6 0

Answer:

Solution: x < -2 or x > 16

Step-by-step explanation:

x − 7 < −9 or x − 7 > 9

x − 7 < −9 : x − 7 > 9

x - 7 < -9

Add 7 to both sides

x - 7 +7 < -9 + 7

Simplify

x < -2

x - 7 > 9 : x > 16

x - 7 > 9

Add 7 to both sides

x - 7+7 > 9 +7

Simplify

x > 16

Combine the intervals

x < -2 or x > 16

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