Math  /  Algebra

Question4w16+9=39-4|w-16|+9=-39 A) w={4,28}w=\{-4,-28\} cowboy boo B) w={4,28}w=\{4,28\} hot rollers C) w={4,28}w=\{-4,28\} snow pants D) w={28,28}w=\{-28,28\} hair nets E) w={28,4}w=\{-28,4\} clown shoes

Studdy Solution
Now, solve for w w by considering both cases of the absolute value equation:
Case 1: w16=12 w - 16 = 12
w16=12 w - 16 = 12 w=12+16 w = 12 + 16 w=28 w = 28
Case 2: w16=12 w - 16 = -12
w16=12 w - 16 = -12 w=12+16 w = -12 + 16 w=4 w = 4
The solutions for w w are:
w={4,28} w = \{4, 28\}
The correct answer is:
B) w={4,28} w = \{4, 28\} hot rollers

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