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

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

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

The answer is A on edge

Explanation: