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How do you solve #abs(-4b-10)/8=3#?

Answer 1

Kennedy Adams

Solution: #b= -8.5 , b=3.5 #

#( | -4b -10 |)/8=3 or | -4b -10 | =24 # or

# -4b -10 =24 or -4b =34 or b= -34/4= -17/2 = -8.5#

#( | -4b -10 |)/8=3 or | -4b -10 | =24 # or

# -4b -10 = -24 or -4b = -14 or b= 14/4= 7/2 = 3.5#

Solution: #b= -8.5 , b=3.5 # [Ans]

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Answer 2

Eli Assouline

To solve the equation ( \frac{{\left| -4b - 10 \right|}}{8} = 3 ), first multiply both sides by 8 to eliminate the fraction. Then, solve for ( b ) by isolating the absolute value expression and considering both positive and negative cases.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.