10 + 8x > 2

Question

on a number line.

Answer 1

To graph the inequality 10 + 8x > 2 on a number line, we first need to solve for x:

10 + 8x > 2
8x > 2 - 10
8x > -8
x > -1

So the values of x that satisfy the inequality are all numbers greater than -1.

On a number line, we would shade all values to the right of -1 to represent x > -1. We would put an open circle on -1 to show that it is not included in the solution set.

The graph would look like this:

------------------------●----->

Here, the open circle represents x = -1 and the shaded area to the right represents all values of x greater than -1.