Question

PLEASE

a. Write the expression without the absolute value sign: |3c|, where c≥0

b. Simplify the expression |ab| if, a>0 and b>0

c. Simplify the expression |ab| if, a<0 and b>0

Answer 1

a. 3c, b. ab, c. -ab :))

Answer 2

a) 3c

b) ab

c) -ab

Explanation:

For x > 0, |x| = x. This lets us remove the absolute value symbols in parts (a) and (b):

a. |3c| = 3c . . . when c > 0

b. |ab| = ab . . . when ab > 0

c. The absolute value function returns the opposite of its argument when that argument is negative:

|ab| = -ab . . . when ab < 0