Question

Choose the correct description of the graph of the compound inequality

Answer 1

i think you meant x − 1 is less than or equal to 12 or 2x greater than or equal to 30.
x<=13 or x>=15, both closed going opposite directions so B

Answer 2

Answer:

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

Step-by-step explanation:

We are given a compound inequality as:

(1)              $x-1\leq 12$

This could also be written as:

              $x\leq 13$

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

(2)               $2x\geq 30$

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

                 $x\geq 15$

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.