Question

Which of the y values satisfy the inequality 2 ≥ y/5 - 1?

1) y ≤ 3
2) y ≥ 9
3) y ≤ -3
4) y ≥ -9

Answer 1

The y values that satisfy the inequality 2 ≥ y/5 - 1 are such that y ≤ 15. The correct choice given from the options is 1) y ≤ 3.

Step-by-step explanation:

The student is asking which of the given y values satisfies the inequality 2 ≥ y/5 - 1. To solve the inequality, we will first isolate the y term:

1. Add 1 to both sides of the inequality: 2 + 1 ≥ y/5
2. Combine like terms on the left side: 3 ≥ y/5
3. Multiply both sides by 5 to solve for y: 5 × 3 ≥ y
4. Combine the numbers: 15 ≥ y
5. Simplify the inequality by flipping it: y ≤ 15

Given the inequality y ≤ 15, we can see that the correct answer is Option 1) y ≤ 3 because it is the only option where y is less than or equal to 15.