Question

solve and graph each inequality number 8. x + 2 < 6 or x / 2 > 3

Answer 1

To solve each inequality, we can follow the next steps:

$x+2<6\Rightarrow x+2-2<6-2\Rightarrow x<4$

The other inequality is

$\frac{x}{2}>3\Rightarrow2\cdot\frac{x}{2}>2\cdot3\Rightarrow x>6$

We can graph these two solutions as follows:

Or

Therefore, the solutions are for values less than four (but not equal to 4) and greater than 6 (but not equal to 6).