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aleksandrvk [35]
3 years ago
12

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

Mathematics
2 answers:
Thepotemich [5.8K]3 years ago
8 0

Answer:

|a|=−a is true only if a is negative or zero

Step-by-step explanation:

Recall that absolute values are always 0 or positive.  

|a|=−a is true only if a is negative or zero.

Ymorist [56]3 years ago
6 0

Answer:

Any negative number and 0 works for the expression.

Step-by-step explanation:

Looking at this type of equation, we know that either EVERY negative number and 0 or EVERY positive number and 0 will work for this equation, since nothing is being added and we're just working with absolutes/negatives.

Let's try a random positive number in the expression

|6| = -(6)\\6 \neq -6

So this positive number doesn't work, let's just test with another one.

|9| = -(9)\\9 \neq -9

So we know that positive numbers won't work with this expression.

Let's test 0 quickly, just to make sure.

|0| = -0\\0 = 0

So 0 works.

Let's try a few negative numbers now.

|-5| = -(-5)\\5 = 5

So yes, this does work. Let's try one more negative number.

|-120| = -(-120)\\120 = 120

This works. So, every negative number and 0 work with this equation.

Hope this helped!

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