Q3 of 32 Page 107

Solve for x, the inequalities in 1/|x|-3 less than equal to 1/2

Given,






⇒ 5 - |x| ≤ 0 and |x| - 3 > 0 or 5 - |x| ≥ 0 and |x| - 3 < 0


⇒ |x| ≥ 5 and |x| > 3 or |x| ≤ 5 and |x| < 3


⇒ |x| ≥ 5 or |x| < 3


⇒ x ∈ (- ∞ , - 5] or [5, ∞) or x ∈ ( -3 , 3)


⇒ x ∈ (- ∞ , - 5] ∪ ( -3 , 3) ∪ [5, ∞)


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