Choose the correct description of the graph of the compound inequality

x − 1 less than or greater to 12 or 2x greater than or equal to 30.

a) a number line with an open circle on 13, shading to the left, and an open circle on 15, shading to the right

b) a number line with a closed circle on 13, shading to the left, and a closed circle on 15, shading to the right

c) a number line with an open circle on 13, an open circle on 15, and shading in between

d) a number line with a closed circle on 13, a closed circle on 15, and shading in between

Option: B is the correct answer.

B) A number line with a closed circle on 13, shading to the left, and a closed circle on 15, shading to the right

We are given a compound inequality as:

(1)              

This could also be written as:

This means that the region is: (-∞,13]

(2)              

On dividing both side of the inequality by 2 we get:

This means that the region is: [15,∞)

Hence, the region that we obtain in the number line is

              (-∞,13]∪[15,∞)

Hence, the shaded region is to the left of 13 with the closed circle at 13 and to the right of 15 with closed circle at 15.