1.

Solve the following inequalities. 1. 4x + 3 < 5x + 7 2. 3(x – 1) ≤ 2(x – 3)

Answer»

1. Given; 4x + 3 < 5x + 7

⇒ 4x – 5x < 7 – 3 

⇒ -x < 4 

⇒ x > -4. 

2. Given; 3(x – 1) < 2(x – 3) 

⇒ 3x – 3 ≤ 2x – 6 

⇒ 3x – 2x ≤ -6 + 3 

⇒ x ≤ -3.



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