Question

For which inequality is y<−3 the solution?

A) −2y−4<2

B) −4y−1>−13

C) −3y+2>11

D) −3y+6>3

Answer 1

The inequality for which y < -3 is the solution is option C.

Step-by-step explanation:

To find the inequality for which y < -3 is the solution, we need to analyze each option and see which one satisfies this condition.

For option A, -2y - 4 < 2, let's solve it for y:

-2y - 4 < 2

-2y < 6

y > -3

This inequality does not satisfy y < -3, so option A is not the solution.

For option B, -4y - 1 > -13:

-4y - 1 > -13

-4y > -12

y < 3

This inequality also does not satisfy y < -3, so option B is not the solution.

For option C, -3y + 2 > 11:

-3y + 2 > 11

-3y > 9

y < -3

This inequality satisfies y < -3, so option C is the solution.

Option D, -3y + 6 > 3, does not satisfy y < -3.

Therefore, the inequality for which y < -3 is the solution is option C.