Question

Plz solve this inequality

Answer 1

Answer:

$\{r | r \ge -3 \}$

Step-by-step explanation:

$7 - 9r - (r + 12) \le 25$

Remember that to deal with the negative sign to the left of the parentheses, you must think of it as a -1 multiplying the parentheses, and you distribute the -1 by multiply each term inside the parentheses by -1. That changes all the signs inside the parentheses.

$7 - 9r - r - 12 \le 25$

Combine like terms on the left side.

$-10r - 5 \le 25$

Add 5 to both sides.

$-10r \le 30$

We now divide both sides by -10. Remember that when you divide both sides fo an inequality by a negative number, the inequality sign changes direction.

$r \ge -3$

Answer: $\{r | r \ge -3 \}$