Question

1. Suppose a and b are integers, and the absolute value of a is > than the absolute value of b. Must a be greater than b? Use examples to support your answer.

2. Do decimals have opposites? Explain.

3. For what values of x does the absolute value of x equal negative x?

Answer 1

#1.
Not necessarily.
For example, a = -5 and b = -3
|a| = 5
|b| = 3
|a| is greater than |b|, but
-5 is NOT greater than -3.

#2.
Opposites are numbers which have the same distance (numerical value) from zero but different in directions (opposite signs). An example would be -5 and 5.
I'm not really sure about this, but I think decimals have opposites, since they can be positive or negative.

#3.
|x| = -x, or
|x| + x = 0
Note that this is true for all x less than or equal to zero.

Hope this helps~ :3

Answer 2

14-12*3