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Question 5 • Algebra 1

Which number line represents the solutions to absolute value of x plus 4 is equal to 2 ?

Answer

Image with description A number line from negative 7 to positive 7 in increments of 1. Two points, one at positive 2 and one at positive 4.

Image with description A number line from negative 7 to positive 7 in increments of 1. Two points, one at negative 4 and one at negative 2.

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

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

Explanation

Interpret the equation as |x + 4| = 2. The expression inside the absolute value can equal 2 or −2, so x + 4 = 2 gives x = −2, and x + 4 = −2 gives x = −6. Choice C shows points at −6 and −2.

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