Help ASAP Which number line represents the solutions to \x + 4) = 2? +
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-7 -6 -5 -4 -3 -2 -1
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3
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-7 -6 -5 -4 -3 -2 -1
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-7
-6 -5 -4 -3 -2 -1
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2 3
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-7 -6 -5 -4 -3 -2 -1 0

first option

Step-by-step explanation:

Given

| x + 4 | = 2

The absolute value function always produces a positive value but the expression inside can be positive or negative, thus

x + 4 = 2 ( subtract 4 from both sides )

x = - 2

OR

- (x + 4) = 2, distribute left side

- x - 4 = 2 ( add 4 to both sides )

- x = 6 ( multiply both sides by - 1 )

x = - 6

Thus solutions are x = - 2, x = - 6

These are represented on the graph by solid blue circles at x = - 2, x = - 6

The first option represents the solution

y=20x

: )

hope this