Question

1.2 x + 5.84 greater than or equal to 13.32 - x

Answer 1

Question:

1.2x + 5.84 ≥ 13.32 - x

Steps:

1. Multiply both sides by 100

• 1.2x * 100 + 5.84 *100 ≥ 13.32 * 100 - x * 100

2. Simplify,

• 120x + 584 ≥ 1332 - 100x

3. Then, subtract 584 from both sides

• 120x + 584 - 584 ≥ 1332 - 584 - 100x

4. Simplify,

• 120x ≥ 748 - 100x

5. Then, add 100x to both sides

• 120x + 100x ≥ 748 - 100x + 100x

6. Simplify,

• 220x ≥ 748

7. Then, divide both sides by 220

• 220x/220 ≥ 748/220

8. Simplify,

• x ≥ 17/5  which is the answer!

The signs does not flip because you did not have a negative (-) sign when you divide it so it stays greater than or equal to (≥).

Hope that helped!!

~Serina