Q. Solve for c.∣9c∣=9Write your answers as integers or as proper or improper fractions in simplest form.c= _____ or c= _____
Understand absolute value equation: Understand the absolute value equation.The equation ∣9c∣=9 means that the absolute value of 9 times c is equal to 9.
Set up two equations: Set up two separate equations to solve for c. Since the absolute value of a number is always non-negative, there are two possibilities for 9c: either 9c=9 or 9c=−9.
Solve first equation: Solve the first equation 9c=9.Divide both sides by 9 to isolate c.c=99c=1
Solve second equation: Solve the second equation 9c=−9.Divide both sides by 9 to isolate c.c=−9/9c=−1