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Find the value of x when | x | = 44

User Dkroy
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Answer:

x = 44, -44

Explanation:

The first step to solving this is removing the absolute value from the x.

When removing the absolute value, we have to consider that the value inside could be both negative or positive.

Therefore, when we open the absolute value function, instead of writing x = 44, we have to write

x = 44

x = -44

If we look at a trickier example, we can observe similar behavior:

if we had |2x + 3| = 44

Then we would have to do 2x + 3 = 44 and 2x + 3 = -44 and solve both equations to find what x is. Usually with absolute value problems, x will have 2 solutions. Looking at the graph of an absolute value function may help you understand this.

Hope this helps :)

User Ben McCormick
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