Question

Write the inequality that represents the solution set for y −4 >−1 2 .

Answer 1

y-4>-12

Since -4 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 4 to both sides.
y>4-12

Subtract 12 from 4 to get -8.
y>-8

Answer 2

The solution to the inequality would be:
y>-8