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How do you solve #abs(2x + 2)= 14 #?

Answer 1

Genesis Allen

#x \in {6, -8}#

#2x + 2 = ± 14#

#2x = -2 ± 14#

#x = -1 ± 7#

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Answer 2

Jameson Allen

To solve the equation ( |2x + 2| = 14 ), you would first isolate the absolute value expression, then solve for ( x ).

[ |2x + 2| = 14 ] [ 2x + 2 = 14 ] or ( 2x + 2 = -14 )

Solve each equation separately:

For ( 2x + 2 = 14 ): [ 2x = 12 ] [ x = 6 ]

For ( 2x + 2 = -14 ): [ 2x = -16 ] [ x = -8 ]

Therefore, the solutions are ( x = 6 ) and ( x = -8 ).

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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.