Question

If the replacement set $=\{-6,-3,0,3,6,9\}$, find the truth set of the following :
i) $2x-1>9$
ii) $3x+7\le 1$

Answer 1

Replacement set $=\{-6,-3,0,3,6,9\}$

(1)

Truth set of the inequation are the numbers chosen from the Replacement set, that satisfies the inequation.

$2x-1>9$

$2x>10$

$x>\frac{10}{2}$

$x>5$

So, the solution set $=\{6,9\}$

(2)

$3x+7\le 1$

$3x\le 1-7$

$3x\le -6$

$x\le \frac{-6}{3}$

$x\le -2$

So, the solution set $=\{-6,-3\}$