Question

Solve the inequality. Graph the solution set. 2r−9≤−6

Answer 1

2r - 9 ≤ -6

To solve for r, we must move all variables to one side.

So, let's start out by adding 9 to both sides.

2r - 9 + 9 ≤ -6 + 9

Simplify.

2r ≤ 3

Divide both sides by 2.

2r ÷ r ≤ 3 ÷ 2

Simplify.

$\text{r}\leq\dfrac{3}{2}$

Simplify so that we don't have improper fractions.

$\text{r}\leq1\dfrac{1}{2}$

Therefore, r is lesser than or equal to $1 \dfrac{1}{2}$.

Using the process of elimination, we can see that the only answer choice that has $\text{r}\leq1\dfrac{1}{2}$ in it is the THIRD answer choice.