Which value is not a solution of inequality $-5y-2\ge 30.5?$

F. $-162.5$

G. $-10$

H. $-6.5$

I. $-3$

In this, simply use the concept of linear inequality and do various mathematical operations like addition, subtraction to get the correct answer.

The solution of the inequality is obtained as:

$-5y-2\ge 30.5$

$-5y-2+2\ge 30.5+2$ (add $2$both sides)

$-5y\ge 32.5$

$-5y÷-5\le 32.5÷-5$ (divide both sides by $-5$ and reverse the inequalities)

$y\le -6.5$

So, the solution of the inequality is all number which is less than or equal to $-6.5$.

$-3$ is greater than $-6.5$, so it is not a solution of the inequality $-5y-2\ge 30.5$

F. $-162.5$It is the incorrect option because after solving the inequality the answer is$-3$.

G. $-10$It is the incorrect option because after solving the inequality the answer is$-3$.

H. $-6.5$It is the incorrect option because after solving the inequality the answer is $-3$.

I. $-3$It is the correct option because after solving the inequality the answer is $-3$.