Question

If the replacement set is the set of whole numbers (W), then the solution set for $7-3x\ge \frac{-1}{2}$ is .

• A. {2,3,4,5}
• B. {6,7,8}
• C. {9,10,11}
• D. {0,1,2}

Answer 1

The correct option is D {0,1,2}

The given in equation is
$7-3x\ge \frac{-1}{2}$
$-3x\ge \frac{-1}{2}-7-3x\ge \frac{-15}{2}$
On multiplying the above in equation with -1, we get
$\because$ we multiply a given in equation by a negative number, the sign of the in equality reverses
$3x\le \frac{15}{2}x\le \frac{15}{2}\times \frac{1}{3}x\le \frac{15}{6}x\le \frac{5}{2}x\le 2.5$
$\therefore$ The solution set is {0, 1, 2}