Q. Solve for f.−4=∣f∣−8Write your answers as integers or as proper or improper fractions in simplest form.f= _____ or f= _____
Isolate absolute value: Understand the equation and isolate the absolute value. We have the equation –4=∣f∣−8. To isolate the absolute value, we need to add 8 to both sides of the equation. −4+8=∣f∣−8+84=∣f∣
Solve for f: Solve for f considering the definition of absolute value.The absolute value of a number is its distance from zero on the number line, which means it is always non-negative. Therefore, if ∣f∣=4, then f can be either 4 or −4 because both 4 and −4 are at a distance of 4 from zero.So, f=4 or f=−4.