Question

1. graph the following solutions on the number line provided: a. x < 3 b. x ≥ - 5 c. 7 ≥ x

Explanation:

a. x < 3

Step1: Mark boundary at 3

Open circle at 3 (not included).

Step2: Shade left of 3

All values less than 3.

b. x ≥ -5

Step1: Mark boundary at -5

Closed circle at -5 (included).

Step2: Shade right of -5

All values greater than -5.

c. 7 ≥ x (x ≤ 7)

Step1: Mark boundary at 7

Closed circle at 7 (included).

Step2: Shade left of 7

All values less than 7.

Answer:

a. Open circle at 3, shaded to the left.
b. Closed circle at -5, shaded to the right.
c. Closed circle at 7, shaded to the left.