Question

Select the values that make the inequality w/8 > 4 true. Then write an equivalent inequality in terms of w.

1) (w > 32)
2) (w < 32)
3) (w >= 32)
4) (w <= 32)

Answer 1

The values that make the inequality w/8 > 4 true are any values of w that are greater than 32, represented by the equivalent inequality (w > 32).

Step-by-step explanation:

To solve for the values that make the inequality w/8 > 4 true, we can multiply both sides of the inequality by 8 to isolate w. Doing so gives us:

w > 4 × 8

w > 32

Therefore, the equivalent inequality in terms of w is (w > 32). This means that any value of w that is greater than 32 will satisfy the initial inequality. So, the correct selection out of the given options is 1) (w > 32).