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Stels [109]
3 years ago
11

For what values of the following expressions are true: |a−5|=5−a

Mathematics
1 answer:
mars1129 [50]3 years ago
5 0

Answer:

Whenever a-5<0 or a<5

Step-by-step explanation:

So if you have an absolute value, that turns into two equations. The one we care about is -(a-5)=5-a. After distributing the negative through the left side of the equation, you'll get that 5-a=5-a, which is an identity. But you can only say that abs(a-5)=5-a when a-5<0. To see a visual representation of this, graph both sides of the equation in desmos.

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