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Solve for ff.\newline∣−3f∣=3|-3f| = 3\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinef=f = _____ or f=f = _____

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Q. Solve for ff.\newline∣−3f∣=3|-3f| = 3\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinef=f = _____ or f=f = _____
  1. Understand absolute value equation: Understand the absolute value equation.\newlineThe equation ∣−3f∣=3|-3f| = 3 means that the absolute value of −3f-3f is equal to 33. The absolute value of a number is its distance from zero on the number line, which means it is always non-negative. Therefore, −3f-3f can either be 33 or −3-3.
  2. Set up two equations: Set up two separate equations to solve for ff. Since ∣−3f∣|-3f| can be either 33 or −3-3, we set up two equations: −3f=3-3f = 3 and −3f=−3-3f = -3.
  3. Solve first equation: Solve the first equation −3f=3-3f = 3.\newlineDivide both sides by −3-3 to isolate ff:\newlinef=3−3f = \frac{3}{-3}\newlinef=−1f = -1
  4. Solve second equation: Solve the second equation −3f=−3-3f = -3.\newlineDivide both sides by −3-3 to isolate ff:\newlinef=−3−3f = \frac{-3}{-3}\newlinef=1f = 1

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