Question

Solve the linear inequality: 0.24y - 0.64 > 3.86.

A. y > 16
B. y < 16
C. y > 15
D. y < 15

Answer 1

To solve the inequality 0.24y - 0.64 > 3.86, we add 0.64 to both sides, then divide both sides by 0.24 to find y > 18.75. This means none of the provided options (y > 16, y < 16, y > 15, y < 15) are correct.

Step-by-step explanation:

To solve the linear inequality 0.24y - 0.64 > 3.86, we will isolate the variable y on one side of the inequality. Here are the steps for solving the inequality:

1. Add 0.64 to both sides to cancel out the -0.64 on the left side: 0.24y > 3.86 + 0.64.
2. Combine like terms on the right side: 0.24y > 4.5.
3. Divide both sides by 0.24 to solve for y: y > 4.5 / 0.24.
4. Do the division on the right side: y > 18.75.

The solution to the inequality is y > 18.75. This means that the correct answer is not listed in the options provided. The closest option would be y > 16, but since 18.75 is larger than 16, the student should indicate that none of the options are correct.