Question

Help ASAP !!!!! Which number line represents the solutions to \x + 4) = 2?

+
+
-7 -6 -5 -4 -3 -2 -1
0
1
2
3
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+
0
1
2
3
-7 -6 -5 -4 -3 -2 -1
1
2
3
-7
-6 -5 -4 -3 -2 -1
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1
2 3
О
-7 -6 -5 -4 -3 -2 -1 0

Answer 1

first option

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