− 5 < x + 2 < 9 / − 2 − 7 < x < 7 ∣ x ∣ < 7 ← A n s w er
The absolute value inequality that corresponds to the compound inequality − 5 < x + 2 < 9 is ∣ x ∣ < 7 . This is derived by first isolating x and noting the range of values it can take. The inequality shows that x is less than 7 units away from 0.
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