Question

Which inequality is equivalent to

4x - 2y ≤ 8?

A. y ≤ 2r-4

B. y ≥ 2r-4

C. y ≤-2r-4

D. y ≥-2r-4

Answer 1

B: y ≥ 2r-4.

Explanation:

To solve for y, we need to isolate y on one side of the inequality. First, we can simplify the left side of the inequality by dividing both sides by 2:

2x - y ≤ 4

Then, we can subtract 2x from both sides to get:

-y ≤ -2x + 4

Finally, we need to isolate y by multiplying both sides by -1 and flipping the direction of the inequality:

y ≥ 2x - 4

Now we can see that the equivalent inequality is option B: y ≥ 2r-4.