Solve the following inequality.

- 10/4 y <= 10

1 answer

To solve the inequality, we must isolate the variable y.

Given: -10/4y ≤ 10

Multiply both sides of the inequality by -4/10 (which is equivalent to multiplying by -1/2) to eliminate the coefficient of y and to keep the inequality direction intact:

(-4/10)(-10/4y) ≥ (-4/10)(10)

This simplifies to:
y ≥ -2

Therefore, the solution to the inequality is: y ≥ -2.