An accountant is working on projections for his next assignment and finds that the cost to the company, C, can be expressed as |C-20,000|<4,000.

Question

a) solve for the projected cost by writing a compund inequality; then write it as an absolute value inequality.

Answer 1

|C-20000| < 4000
means
+(C-20000) < 4000 and -(C-20000) < 4000
C - 20000 < 4000 and -C +20000 < 4000
C < 24000 and c > 20000-400
C < 24000 and C > 16000

Compound inequality
16000 < C < 24000

|C-20,000|<4,000
is already an absolute value inequality.

Answer 2

m=-6