An inequality is shown.

4x + 6 > 14

Use the number line to show all of the values of x that make the inequality true

To solve the inequality 4x + 6 > 14, we first isolate x by subtracting 6 from both sides:

4x + 6 - 6 > 14 - 6
4x > 8

Next, divide both sides by 4 to solve for x:

x > 2

On the number line, mark a circle at 2 and shade to the right to indicate all values of x that are greater than 2. This represents the solutions to the inequality 4x + 6 > 14.


-----------o--------------------------------->
2