Question

The complete solution set of given by ((x - 1)(x ^ 2 + 2))/(x - 3) ​

Answer 1

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∣x−1∣+∣x+2∣≥3, then complete solution set of this inequation is?

This question has multiple correct options

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Correct options are A) and B)

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]