the solution set of inequation 3/[x]+2< 1 is
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Step-by-step explanation:
Consider the inequality, ∣x−1∣+∣x+2∣≥3
⟹x−1+x+2≥3 and x−1+x+2≤−3
⟹2x+1≥3 and 2x+1≤−3
⟹2x≥3−1 and 2x≤−3−1
⟹2x≥2 and 2x≤−4
⟹x≥1 and x≤−2
The solution set is,
From x≥1 we get [1,∞)
From x≤−2 we get (−∞,−2]
Solution : A and B.
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