Question

Solve the inequality 2(-3 + 5) + 2 ≥ -4(x - 2) - 3

Answer 1

4≤x same as x ≥ 4

Explanation:

First you need to apply the distributive property.

That means 2 times -3 and positive 5

The inequality should look like this:

-6+10+2≥-4(x-2)-3

You should then do the same but on the other side keeping the -6+10+2 the same and undisturbed

Should look like this:

-6+10+2≥-4x+8-3

After, solve all of it

Should be simplified to this:
6 ≥ -4x+5

Now subtract 5 from both sides

6-5 ≥ -4x

1 ≥ -4x

Since we are dividing the inequality rule said that we shall flip the sign if dividing or multiplying by a negative number.

So the answer should look like this:

x ≥ 4