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

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Question:

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

Answer:

Option A is correct, the values of staisfying the given equation are and .

Modulus function always returns a positive value to the equation.

Here, will give positive result if and negative value if, .

Case 1: When

According to the given equation,

So, the value of which satisfies the given equation for is .

Case 2: When

So, the value of which satisfies the given equation for is .

Hence, the values of staisfying the given equation are and .

Now, according to the options, Option A is correct.

Learn more about number line here:

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