x/2 + 6 < 3

Answer 1

To solve the inequality x/2 + 6 < 3, we need to isolate the variable x.

First, we subtract 6 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 + 6 < 3 is x < -6.

Answer 2

on a number line.

Answer 3

On a number line, we would represent x < -6 by shading all the numbers to the left of -6 and leaving an open circle at -6 to indicate that x is not equal to -6.

It would look like this:

<-----o-------------------]---->
-6

The shaded region represents all the numbers less than -6.