MATH SOLVE

5 months ago

Q:
# Graph the solution set of: 2x - 4 ≤ 8 and x + 5 ≥ 7

Accepted Solution

A:

Answer:x ≤ 6 and x ≥ 2Step-by-step explanation:For now, we will start with doing each problem at a time. Here is your equation:2x - 4 ≤ 8First, you want to get the variable by itself. So, you add 4 to both sides. It will look like this:2x - 4 ≤ 8 + 4 + 4The four being added on the left side cancels out, and you add 4 to 8. Now, it should look like this:2x ≤ 12Next, you want the x by itself. So, you would divide both sides by 2. 2x ≤ 12/2 /22 divided by 2 cancels out, and 12 divided by 2 equals 6. Now, you have a final answer of:x ≤ 6But, you now have to do the other one!Here is what you start off with:x + 5 ≥ 7First, you want the variable side by itself. So, you subtract 5 from both sides. x + 5 ≥ 7 - 5 -5Now, you have this:x ≥ 2Because the variable is already by itself, you don't need to do any more division and this is you final answer. Now put both answers you got together which equals:x ≤ 6 and x ≥ 2