Question

Solve the following inequation: $3-2x\ge x-12$, given $xϵ$N.
[3 MARKS]

Answer 1

$3-2x\ge x-12$
$\Rightarrow -2x-x\ge -12-3$........[1 mark]
$\Rightarrow -3x\ge -15$
$\Rightarrow 3x\le 15$
$\Rightarrow x\le 5$.....[2 marks]
So, the solution set is {$1,2,3,4,5$}