Question

Let $S$ be the solution set of the inequality $4x+5\le 2x+17$ (where $x$ is a whole number), then $n\left(S\right)$ is equal to

• A. $5$
• B. $6$
• C. $7$
• D. $8$

Answer 1

The correct option is C $7$

$4x+5\le 2x+11$
$\Rightarrow 2x\le 12$
$\Rightarrow x\le 6$
$\Rightarrow x\in \{0,1,2,3,4,5,6\}$