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Elina [12.6K]
3 years ago
8

Choose the correct description of the graph of the compound inequality

Mathematics
2 answers:
elena-s [515]3 years ago
5 0
<span>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</span>
Harrizon [31]3 years ago
5 0
<h2>Answer:</h2>

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

<h2>Step-by-step explanation:</h2>

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.

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