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Solve for bb.\newline0=∣b−6∣0 = |b - 6|\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlineb=b = _____ or b=b = _____

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Q. Solve for bb.\newline0=∣b−6∣0 = |b - 6|\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlineb=b = _____ or b=b = _____
  1. Understand absolute value equation: Understand the absolute value equation.\newlineThe equation 0=∣b−6∣0 = |b − 6| means that the expression inside the absolute value, b−6b − 6, can be either positive or negative, but its absolute value is 00. This implies that b−6b − 6 must be equal to 00.
  2. Solve for bb non-negative: Solve for bb when the expression inside the absolute value is non-negative.\newlineSince ∣b−6∣=0|b − 6| = 0, we can write b−6=0b − 6 = 0.\newlineNow, add 66 to both sides to isolate bb.\newlineb−6+6=0+6b − 6 + 6 = 0 + 6\newlineb=6b = 6
  3. Solve for bb non-positive: Solve for bb when the expression inside the absolute value is non-positive.\newlineIn this case, since the absolute value is 00, the expression inside can only be 00, so there is no need for a second case. The only solution is b=6b = 6.

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