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Which number line represents the solutions to Ix + 4) = 2?
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H
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+ +
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-7 -6 -5 -4 -3 -2 -1 0 1 2 3
4 5 6
7
O
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++
+
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
7
O
←++
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+
+
-7 -6 -5 -4 -3 -2 -1 0 1 2
5
6
7
←++
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-7 -6 -5 -4 -3 -2 -1 0 1
5 6 7
42
2
+3
14
4
3 4
by

1 Answer

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the first answer option

Step-by-step explanation:

|x + 4| = 2

so,

(x + 4) must be +2 or -2 to make the original equation true.

when is (x + 4) = 2 ?

x + 4 = 2

x = -2

when is (x + 4) = -2 ?

x + 4 = -2

x = -6

so, -6 and -2 are the correct solutions.
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