28.9k views
1 vote
Solve the inequality. Graph the solution set. 2r−9≤−6

Solve the inequality. Graph the solution set. 2r−9≤−6-example-1
Solve the inequality. Graph the solution set. 2r−9≤−6-example-1
Solve the inequality. Graph the solution set. 2r−9≤−6-example-2
User Goseta
by
5.5k points

2 Answers

6 votes

2r≤3

r≤3/2

r≤1 1/2

the answer is C


User Ateszki
by
5.5k points
7 votes

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!~

User Reunanen
by
5.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.