Solve : 2 (x – 2) < 3x – 2, x ∈ – 3, – 2, – 1, 0, 1, 2, 3 . - Vidyadip

Question

Solve : 2 (x – 2) < 3x – 2, x ∈ { – 3, – 2, – 1, 0, 1, 2, 3} .

✓

Answer

2(x – 2) < 3x – 2
⇒ 2x – 4 < 3x – 2
⇒ 2x – 3x < – 2 + 4
⇒ – x < 2
⇒ x > – 2
Solution set = { – 1, 0, 1, 2, 3}.

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