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.

the answer

b. they are parallel and will never intersect.

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.