To solve the inequality, we will first distribute the -4 to the terms inside the parentheses:
-4(r - 9) + 2r < -6
-4r + 36 + 2r < -6
Next, we combine like terms on the left side of the inequality:
-2r + 36 < -6
To isolate the variable, we subtract 36 from both sides of the inequality:
-2r < -6 - 36
-2r < -42
Now, we divide both sides of the inequality by -2. Remember that when dividing or multiplying by a negative number, we need to flip the inequality sign:
r > -42/-2
r > 21
Therefore, the solution to the inequality is r > 21.
Solve the inequality. Make sure to show your work.
-4(r - 9) + 2r < -6
1 answer