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What is the sum of the solutions of 2|x - 1| -4 = -2 ??

A. 0

B. -2

C. 2

D. 1 1/2

Can someone help me please

User Charmalade
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2 Answers

2 votes
the answer is both 2 and 0
What is the sum of the solutions of 2|x - 1| -4 = -2 ?? A. 0 B. -2 C. 2 D. 1 1/2 Can-example-1
User He
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Hi there! The answer is C. 2


2 |x -1| - 4 = - 2
Add 4 to both sides.


2 |x - 1| = 2
Divide by 2


|x - 1| = 1
Now work out the absolute value, which gives that the equation is either equal to 1 or to - 1.


x - 1 = 1 \: \: or \: \: x - 1 = - 1

x = 2 \: \: or \: \: x = 0

Therefore, the sum of the solutions is 0 + 2 = 2.
User Joey
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8.3k points

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