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

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joaobezerra joaobezerra · Answer 1 · 2022-08-24T17:24:13+02:00

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

The absolute value function is given by:

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:

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 https://brainly.com/question/24734454

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