x/2 + 3 > 6

3 answers

To solve this inequality, we need to isolate x on one side of the inequality sign.

First, subtract 3 from both sides:

x/2 > 3

Next, multiply both sides by 2 to get rid of the fraction:

x > 6

Therefore, the solution to the inequality x/2 + 3 > 6 is x > 6.
on a number line
On a number line, the solution x > 6 would be represented by a solid circle at 6 (since x is not equal to 6) and an arrow to the right indicating that all values greater than 6 are included in the solution set.

The number line should look like this:

---o------>6-------o--->

Hope this helps!