Question

If the replacement set is the set of whole numbers, solve 7 - 3x $\ge$ -$\frac{1}{2}$

• A. $\{1,2,3\}$
• B. $\{0,1,2\}$
• C. $\{1,2\}$
• D. $\{0,1,2,3\}$

Answer 1

The correct option is B

$\{0,1,2\}$

Given,

$7-3x\ge -\frac{1}{2}$

$\Rightarrow -3x\ge \frac{-1-14}{2}$

$\Rightarrow 3x\le \frac{15}{2}$

$\Rightarrow x\le \frac{5}{2}$

Since, replacement set is the set of all whole numbers:

Solution set is $\{0,1,2\}$