Question

solve the following inequality for x. (\frac{3}{11}x - 21geq-\frac{8}{11}x + 63). a. (xgeq - 84) b. (xgeq-\frac{24}{5}) c. (xgeq\frac{264}{5}) d. (xgeq84)

Explanation:

Step1: Add $\frac{8}{11}x$ to both sides

$\frac{3}{11}x+\frac{8}{11}x - 21\geq\frac{8}{11}x-\frac{8}{11}x + 63$
$\frac{3 + 8}{11}x-21\geq63$
$x - 21\geq63$

Step2: Add 21 to both sides

$x-21 + 21\geq63+21$
$x\geq84$

Answer:

D. $x\geq84$