Question

Question 7 (Essay Worth 6 points) (05.04 MC)

Part A: Solve the inequality, showing all necessary steps.

`|1\4x - 3| - 5 \geqslant 4`

Part B: Describe the graph of the solution. ​

Answer 1

Part A:

(1x - 3) - 5 > 4

Simplify the left side:

1x - 3 - 5 > 4

1x - 8 > 4

Add 8 to both sides:

1x - 8 + 8 > 4 + 8

1x > 12

Simplify:

x > 12

Part B:

The solution to the inequality is all values of x that are greater than 12. On a number line, this would be all values to the right of 12, but not including 12. We can represent this graphically by shading the region to the right of 12 on a number line and using an open circle to indicate that 12 is not included in the solution.