Question

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.

Answer 1

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:

$|x+4|=2$

For an absolute function, if $|x+a|=c$, where, $a$ and $c$ are some real numbers, then,

$x+a=\pm c\\x+a=c\textrm{ or }x+a=-c$

Therefore, the above equation can be expressed as:

$x+4=\pm 2\\x+4=2\textrm{ or }x+4=-2\\x=2-4\textrm{ or }x=-2-4\\x=-2\textrm{ or }x=-6$

Therefore, on a number line, the values of $x$ are -6 and -2.

Answer 2

Answer:

The answer is A on edge

Step-by-step explanation: