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What is the sum of all solutions to the equation |x + 3| = 4 ?

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What is the sum of all solutions to the equation |x + 3| = 4 ?  [#permalink]

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New post 04 Apr 2018, 22:03
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

95% (00:40) correct 5% (00:54) wrong based on 129 sessions

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Re: What is the sum of all solutions to the equation |x + 3| = 4 ?  [#permalink]

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New post 04 Apr 2018, 22:42
Bunuel wrote:
What is the sum of all solutions to the equation |x + 3| = 4 ?

A. -8
B. -6
C. 4
D. 8
E. 9


x+3=4 and x+3=-4

x=1,-7
sum =-6

B
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Re: What is the sum of all solutions to the equation |x + 3| = 4 ?  [#permalink]

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New post 05 Apr 2018, 20:16
X can have 2 values 1 and -7. The sum of which is equal to -6.

Ans: B

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Re: What is the sum of all solutions to the equation |x + 3| = 4 ?  [#permalink]

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New post 10 Apr 2018, 11:11
Bunuel wrote:
What is the sum of all solutions to the equation |x + 3| = 4 ?

A. -8
B. -6
C. 4
D. 8
E. 9


Solving for x when (x + 3) is positive, we have:

x + 3 = 4

x = 1

Solving for x when (x + 3) is negative, we have:

-(x + 3) = 4

-x - 3 = 4

-x = 7

x = -7

The sum of the solutions is 1 + (-7) = -6.

Answer: B
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Re: What is the sum of all solutions to the equation |x + 3| = 4 ? &nbs [#permalink] 10 Apr 2018, 11:11
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