Q5 of 59 Page 22

Solve the following inequations.

(i) 2x + 7>15


(ii) 2(x – 2) < 3


(iii) 2(x + 7) ≤ 9


(iv) 3x + 14 ≥ 8

(i) 2x + 7>15


2x>15 – 7


⇒ 2x>8


⇒ x>


⇒ x>4


(ii) 2x – 4<3


⇒ 2x>3 + 4


⇒ 2x>7


⇒ x>7/2


(iii) 2(x + 7)≤9


⇒ 2x + 14≤9


⇒ 2x≤9 – 14


⇒ 2x≤ – 5



(iv) 3x + 14≥8


⇒ 3x≥8 – 14


⇒ 3x≥ – 6


⇒ x≥


⇒ x≥ – 2


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