Solve the inequality for r.
-3r-33>-9r+27
-3r-33>-9r+27
6r > 60
r > 10
To solve the inequality -3r - 33 > -9r + 27 for r, we need to isolate the variable r on one side of the inequality.
Here are the steps to solve the inequality:
Step 1: Simplify both sides of the inequality by combining like terms.
-3r - 33 > -9r + 27
Step 2: Add 9r to both sides of the inequality to eliminate the -9r term on the right side.
-3r + 9r - 33 > -9r + 9r + 27
Simplifying further:
6r - 33 > 27
Step 3: Add 33 to both sides of the inequality to eliminate the -33 term on the left side.
6r - 33 + 33 > 27 + 33
Simplifying further:
6r > 60
Step 4: Divide both sides of the inequality by 6 to solve for r.
(6r)/6 > 60/6
Simplifying further:
r > 10
Therefore, the solution to the inequality -3r - 33 > -9r + 27 is r > 10.