Question

$-3\text{y}+\frac{60}{8}\text{Y}\ge -\frac{4}{3}\text{y}+14\text{Y}$. The value of $\text{Y}$ is 10, then the value of $\text{y}$ is .

• A. $\text{y}\le 39$
• B. $\text{y}\ge 39$
• C. $\text{y}\le -39$
• D. $\text{y}\ge 39$

Answer 1

The correct option is C $\text{y}\le -39$

$-3\text{y}+\frac{60}{8}\text{Y}\ge -\frac{4}{3}\text{y}+14\text{Y}$

$⟹-3\text{y}+\frac{4}{3}\text{y}\ge 14\text{Y}-\frac{60}{8}\text{Y}$

$⟹-\frac{5}{3}\text{y}\ge \frac{52}{8}\text{Y}$

$⟹-\frac{5}{3}\text{y}\ge 6.5\text{Y}$

$⟹-\text{y}\ge 6.5\times \frac{3}{5}\text{Y}$

$⟹-\text{y}\ge 3.9\text{Y}$

$⟹-\text{y}\ge 3.9\times 10$

$⟹-\text{y}\ge 39$

$⟹\text{y}\le -39$