Question

Solve the following linear inequality for y:

8x−4y>16

A) y<2x−4
B) y>−2x+4
C) y<−2x+4
D) y>2x−4

Answer 1

The inequality 8x - 4y > 16 is solved by dividing each term by -4 and then rewriting the inequality to isolate y, resulting in y > -2x + 4.

Step-by-step explanation:

To solve the linear inequality 8x - 4y > 16 for y, we need to isolate y on one side of the inequality.

1. First, divide each term by -4 to maintain the equality (remember that dividing by a negative number reverses the inequality sign):
   -2x + y < -4.
2. Then, to solve for y, we will rewrite the inequality so y is on the left side: y > -2x + 4.

Therefore, the correct answer is B) y > -2x + 4.