Question

1. which of the following number line graphs represents the compound inequality below.

$6 \leq x < 10$

a. number line with open circles at 6 and 10, shaded between

b. number line with closed circle at 6 and open circle at 10, shaded between

c. number line with closed circle at 6 and closed circle at 10, shaded outside

d. number line with closed circle at 6 and open circle at 10, shaded outside

Explanation:

Step1: Analyze left inequality

$6 \leq x$ means 6 is included, so use a closed dot at 6.

Step2: Analyze right inequality

$x < 10$ means 10 is excluded, so use an open dot at 10.

Step3: Identify the interval

Shade the region between 6 and 10.

Answer:

b. <The number line with a closed dot at 6, open dot at 10, and shaded region between them>