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Question
Solve |3 – 4x| ≥ 9.
Solution
We have |3 – 4x| ≥ 9
⇒ 3 – 4x ≤ –9 or 3 – 4x ≥ 9 .....(Since |x| ≥ a ⇒ x ≤ –a or x ≥ a)
⇒ –4x ≤ –12 or –4x ≥ 6
⇒ x ≥ 3 or x ≤ `(-3)/2` .....(Dividing both sides by –4)
⇒ x ∈ (`-oo, (-3)/2`] ∪ [`3, oo`)
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