3−2(x+4)≤5

Answer 1

Let's solve this inequality step by step:

3 - 2(x + 4) ≤ 5

First, distribute the -2 to the terms inside the parentheses:

3 - 2x - 8 ≤ 5

Combine like terms:

-2x - 5 ≤ 5

Next, move -5 to the other side of the inequality by adding 5 to both sides:

-2x ≤ 10

Divide both sides of the inequality by -2. Since we are dividing by a negative number, we need to reverse the inequality sign:

x ≥ -5

So, the solution to the inequality 3 - 2(x + 4) ≤ 5 is x ≥ -5.