Question

What is the solution to y in the inequality 4(x+y)-10≥x+6y-4

Answer 1

y ≤ 3/2 x - 3.

Explanation:

4(x + y) - 10 ≥ x + 6y - 4

4x + 4y - 10 ≥ x + 6y - 4

4y - 6y ≥ x - 4x - 4 + 10

-2y ≥ -3x + 6

y ≤ 3/2 x - 3. (Note the inequality sign is reversed because we are dividing by a negative value)).