Question

Select the values that make the inequality > -1 true. Then write an equivalent

8
inequality, in terms of y.
(Numbers written in order from least to greatest going across.)
Answer Attempt 1 out of 2
-24
-9
-5
Equivalent Inequality: y
-16
-8
0
V
-11
-7
8

Answer 1

To find the values that make y/8 > -1 true, you multiply each side of the inequality by 8 to get y > -8. The values greater than -8 that fulfill this condition are -5, -1, 0, 11, and 78; thus, the equivalent inequality in terms of y is y > -8.

Step-by-step explanation:

To solve the inequality y/8 > -1, we start by isolating the variable y. Multiplying both sides of the inequality by 8, we get y > -8. Any value of y that is greater than -8 will make the inequality true.

From the given options, the values that make the inequality true when written in order from least to greatest are: -5, -1, 0, 11, 78. The number -9 doesn't satisfy the inequality because -9 is less than -8, so it cannot be included.

Now, the equivalent inequality in terms of y is simply y > -8, which we derived by multiplying both sides of the original inequality by 8.