Question

Which number line represents the solutions to |x + 4| = 2?

Answer 1

Answer: Option 1

Step-by-step explanation:

$|x+4|=2\\\\x+4=\pm 2\\\\x=-4\pm 2\\\\x=-6, -2$

Answer 2

Solve Absolute Value.

| x + 4 | = 2

We know either x + 4 = 2 or x + 4 = −2

                                                                                                                                 

x + 4 = 2 (Possibility 1)

x + 4 - 4 = 2 - 4 (Subtract 4 from both sides)

x = -2

                                                                                                                                 

x + 4 = −2 (Possibility 2)

x + 4 - 4 = - 2 - 4 (Subtract 4 from both sides)

x = -6

Answer: x = - 2 or x = -6

Therefore we conclude that the solution of the exercise | x + 4 | = 2, is the first number line, since both results are negative.