Big Book Test #1, Section 3, Question #7

I approached it as:

|-3|=-m
-3 = -m and 3 = -m
Next would be divide by -1 to get rid of the negative m.
3=m and -3 = m, therefore I responded D.

Correct Answer: B

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Value on the left hand side will be yield 3 because it’s an absolute value. This has to equal negative m.

Now if left hand side gives us positive 3, the right hand side must also give us positive 3. If you substitute m with negative 3, you get positive 3 on the right side because two negatives cancel each other out.

Thus, between the value of m (negative 3) and 3, 3 is the bigger one aka choice B

If its |number| = x then, it will be number = x
eg: |3| = x , then x = 3
Similarly, |-number| = x then it will be number = x
eg:|-3| = x ,then x = 3

But if we have a variable inside absolute sign then ,

\left|x\right|=3
the x will be equal -3 and 3

same with \left|-x\right|=3
then also, x will be equal to -3 and 3