Solve the inequality: -2(2x - 4) ≤ 4(2 - x).(1 point)

Responses

x ≤ 0
x ≤ 0

x ≤ 4
x ≤ 4

x ≤ 8
x ≤ 8

All Real Numbers
All Real Numbers

No Solution

1 answer

To solve the inequality, let's simplify each side separately.

On the left side, we have:

-2(2x - 4) = -4x + 8

On the right side, we have:

4(2 - x) = 8 - 4x

Now, let's substitute these values back into the inequality:

-4x + 8 ≤ 8 - 4x

We can see that -4x and -4x cancel each other out, so we are left with:

8 ≤ 8

This inequality is true for all real numbers, so the answer is:

All Real Numbers