How do you solve #|b - 5| = 24#?

1 Answer
Abhishek K.
Dec 23, 2016

The solution is #b = 29,-19.#

Explanation:

#| b-5 | = 24#
To clear the absolute-value bars, I must split the equation into its two possible two cases, one case for each sign:

#(b-5) = 24# or #–(b-5) = 24#
#b =24+5# or –b +5 = 24
#b = 29# or #b = 5-24=-19#

Then the solution is #b = 29,-19.#

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