Step 1: –10 + 8x < 6x – 4
step 2: –10 < –2x – 4
step 3: –6 < –2x
step 4:
what is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3

Hello mate!

We start with:

-10 + 8x < 6x - 4

-10 - 8x + 8x  = 10 < 6x - 8x - 4 = -2x - 4

-10 < - 2x - 4

-10 +4 < -2x - 4 + 4

-6 < -2x

now, the final step, we can divide both sides by -2 (and notice that, because of the negative sign, the direction of the < sign, changes)

-6/-2 > -2x/-2

3 > x

So the right option is the third one.

step-by-step explanation:

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