College

What are the steps to solving the inequality [tex]36 + 8 \geq 14[/tex]?

A. Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.

B. Subtract 8 from both sides of the inequality. Change the direction of the inequality. Divide both sides of the inequality by 3.

C. Divide both sides of the inequality by 3. Subtract 8 from both sides of the inequality.

D. Divide both sides of the inequality by 3. Change the direction of the inequality. Subtract 8 from both sides of the inequality.

Answer :

To solve the inequality [tex]\(36 + 8 \geq 14\)[/tex], you can follow these steps:

1. Subtract 8 from both sides of the inequality:
[tex]\[
36 + 8 - 8 \geq 14 - 8
\][/tex]
This simplifies to:
[tex]\[
36 \geq 6
\][/tex]
After subtracting 8 from both sides, we have 36 on the left and 6 on the right.

2. Divide both sides of the inequality by 3:
[tex]\[
\frac{36}{3} \geq \frac{6}{3}
\][/tex]
This simplifies to:
[tex]\[
12 \geq 2
\][/tex]
After dividing both sides by 3, we have 12 on the left and 2 on the right.

After performing these steps, the resulting inequality is [tex]\(12 \geq 2\)[/tex]. This tells us that the original inequality holds true.