Question

Consider these graphed number lines. 4 number lines going from negative 5 to positive 5. Graph A: closed circles are at negative 5 and positive 2. Everything to the left of negative 5 and to the right of positive 2 is shaded. Graph B: Points are at negative 5 and positive 2. Everything between the points is shaded. Graph C: Open circles are at negative 5 and positive 2. Everything to the left of negative 2 and to the right of positive 2 is shaded. Graph D: Points are at negative 5 and positive 2. Everything between the points is shaded. Which number line represents the solution for the inequality |2p + 3| Greater-than-or-equal-to 7? graph A graph B graph C graph D

Answer 1

The graph for the solution set of the absolute value inequality is given by graph A.

What is the absolute value function?

The absolute value function is given by:

• |x| = x, x >= 0.

• |x| = -x, x < 0.

It measures the distance of a point x to the origin, which is given to x = 0.

In this problem, the inequality is given by:

|2p + 3| ≥ 7

Which means that the distance of 2p + 3 to the origin is of at least 7 units, hence 2p + 3 can be:

• Equal or less to -7.

• Equal or greater than 7.

Hence:

2p + 3≤ -7

2p ≤ -10

p ≤ -5

2p + 3 ≥ 7

2p ≥ 4

p ≥ 2

The graph is given at the end of the answer, and represented by graph A.

More can be learned about the absolute value function at brainly.com/question/24734454

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