Question

Which value is a solution to the inequality 9 – y >12?

A) 2

B) –6

C) 8

D) –1

Answer 1

To find the solution to the inequality 9 - y > 12, we need to isolate the variable y.

9 - y > 12

Subtract 9 from both sides:

-y > 12 - 9

-y > 3

Since we have a negative coefficient for y, we need to flip the inequality sign when multiplying or dividing by a negative number. In this case, we can multiply both sides of the inequality by -1 to simplify it further:

y < -3

The inequality states that y is less than -3.

Now let's check which value among the given options satisfies this inequality:

A) 2: 2 is not less than -3. It is greater.

B) -6: -6 is less than -3. It satisfies the inequality.

C) 8: 8 is not less than -3. It is greater.

D) -1: -1 is less than -3. It satisfies the inequality.

Based on the given options, the values that satisfy the inequality y < -

Explanation: