Question

Evaluate |a| - |b|, given a=5, b=-3, and c=-2.
a) 2
b) 8
c) 0
d) 10

Answer 1

To solve |a| - |b| with a=5 and b=-3, take the absolute values of a and b, resulting in 5 and 3 respectively, and then subtract them to get the answer 2.

Step-by-step explanation:

To evaluate |a| - |b|, given a=5, b=-3, and c=-2, we need to apply the definition of absolute value. The absolute value of a number is the non-negative value of that number without regard to its sign. Thus, |a| is the absolute value of a, and |b| is the absolute value of b.

First, we find the absolute value of a:

• |a| = |5| = 5

Then, we find the absolute value of b:

• |b| = |-3| = 3

Now, we subtract the absolute value of b from the absolute value of a:

• |a| - |b| = 5 - 3 = 2

Therefore, the correct answer is 2, which corresponds to option a).