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Fill in the Blanks
If |x + 2| > 5, then x ______ – 7 or x ______ 3.
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Solution
If |x + 2| > 5, then x < – 7 or x > 3.
Explanation:
If |x + 2| > 5, then
x + 2 < – 5 or x + 2 > 5
⇒ x < –5 – 2 or x > 5 – 2
⇒ x < – 7 or x > 3
So x ∈ (– `oo,` – 7) ∪ (3, `oo`)
Concept: Inequalities - Introduction
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