Q17 of 51 Page 6

Solve 3x – 2 < 2x + 1


3x – 2 < 2x + 1

⇒ 3x – 2 + 2 < 2x + 1 + 2

⇒ 3x < 2x + 3

⇒ 3x – 2x < 2x + 3 – 2x

⇒ x < 3

i.e., all real numbers x less than 3 as shown on the number line.

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