Question

Rewrite the inequality in simplest form so the coefficient of is positive and the right side is 0. Drag the numbers and symbols to the correct locations on the inequality. Each number or symbol can be used more than once, but not all numbers and symbols will be used.

a. 0 ≤ 625y + 5000
b. 0 ≥ 625y - 5000
c. 0 ≤ 5000 - 625y
d. 0 ≥ 5000 + 625y

Answer 1

The correct inequality in simplest form, where the coefficient of y is positive and the right side is 0, is option c. 0 ≤ 5000 - 625y

Step-by-step explanation:

The correct inequality in simplest form, where the coefficient of y is positive and the right side is 0, is option c. 0 ≤ 5000 - 625y.

Here's the step-by-step explanation:

1. Start with the original inequality: 625y ≤ -5000
2. To make the coefficient of y positive, divide both sides by -625. Remember that when dividing or multiplying an inequality by a negative number, the direction of the inequality symbol flips: y ≥ -5000/625
3. Simplify the right side: y ≥ -8
4. To have the right side as 0, subtract -8 from both sides: y + 8 ≥ 0
5. Finally, rewrite the inequality with the y term on the right side: 0 ≤ -y - 8
6. Simplify further by multiplying both sides by -1: 0 ≥ y + 8
7. This is the same as option c: 0 ≤ 5000 - 625y