Question

Create a number line to show all of the values of exit make this inequality true 4x + 6>14

Answer 1

-4 > x

Answer 2

Explain it as a number line

Answer 3

To explain the inequality 4x + 6 > 14 using a number line, we begin by solving the inequality for x:

4x + 6 > 14
4x > 8
x > 2

This means that all values of x greater than 2 will satisfy the inequality. On the number line, we plot a solid circle at 2 (to indicate that it is not included in the solution), and draw an arrow extending to the right to show that all values to the right of 2 are solutions:

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

So, on this number line representation, all values of x greater than 2 will make the inequality 4x + 6 > 14 true.