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Which number line represents the solutions to |x + 4| = 2? A number line from negative 7 to 7 in increments of 1. Two points, one at negative 6 and one at negative 2. A number line from negative 7 to 7 in increments of 1. Two points, one at 2 and one at 4. A number line from negative 7 to 7 in increments of 1. Two points, one at 2 and one at 6. A number line from negative 7 to 7 in increments of 1. Two points, one at negative 4 and one at negative 2.

Respuesta :

Answer:

A number line from negative 7 to 7 in increments of 1. Two points, one at negative 6 and one at negative 2.

Step-by-step explanation:

Given:

The equation is:

[tex]|x+4|=2[/tex]

For an absolute function, if [tex]|x+a|=c[/tex], where, [tex]a[/tex] and [tex]c[/tex] are some real numbers, then,

[tex]x+a=\pm c\\x+a=c\textrm{ or }x+a=-c[/tex]

Therefore, the above equation can be expressed as:

[tex]x+4=\pm 2\\x+4=2\textrm{ or }x+4=-2\\x=2-4\textrm{ or }x=-2-4\\x=-2\textrm{ or }x=-6[/tex]

Therefore, on a number line, the values of [tex]x[/tex] are -6 and -2.

Answer:

The answer is A on edge

Step-by-step explanation:

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