Question

Which value is a solution to the inequality 9 - y>12? A. -6 B. 8 C. -1 D. 2

Answer 1

A

Explanation:

9 - y > 12

<=> 9 - y - 9 > 12 - 9

<=> -y > 3

<=> -y × (-1) < 3 × (-1)

<=> y < -3

.

A. -6 < -3 ✔️

B. 8 < -3 ❌

C. -1 < -3 ❌

D. 2 < -3 ❌

.

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Answer 2

A

Explanation:

9 - y > 12 ( subtract 9 from both sides )

- y > 3

multiply both sides by - 1 , reversing the symbol as a result of multiplying by a negative quantity.

y < - 3

looking at the options

A - 6 < - 3 ← so is a solution

B 8 > - 3 ← is not a solution

C - 1 > - 3 ← is not a solution

D 2 > - 3 ← is not a solution

the value which is a solution to the inequality is - 6