Solve the inequality. Graph the solution set. 2r−9≤−6
![Solve the inequality Graph the solution set 2r96 class=](https://us-static.z-dn.net/files/d4e/4d641d343006fe811a6f1b5afb7f2b80.png)
![Solve the inequality Graph the solution set 2r96 class=](https://us-static.z-dn.net/files/d70/7317aee6ca92600e63434ec3ffe30df4.png)
Hey there! :)
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.
r ≤ 3/2
Simplify so that we don't have improper fractions.
r ≤ 1 1/2
Therefore, r is lesser than or equal to 1 1/2.
Using the process of elimination, we can see that the only answer choice that has r ≤ 1 1/2 in it is the THIRD answer choice.
~Hope I helped!~