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