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Bunuel
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What is the sum of all solutions to the equation |x + 3| = 4 ? 04 Apr 2018, 22:03
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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Question Stats:

94% (00:38) correct 6% (00:49) wrong based on 513 sessions

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

A. -8
B. -6
C. 4
D. 8
E. 9
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B
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What is the sum of all solutions to the equation |x + 3| = 4 ? 04 Apr 2018, 22:42
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Bunuel
What is the sum of all solutions to the equation |x + 3| = 4 ?

A. -8
B. -6
C. 4
D. 8
E. 9
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x+3=4 and x+3=-4

x=1,-7
sum =-6

B
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What is the sum of all solutions to the equation |x + 3| = 4 ? 05 Apr 2018, 20:16
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X can have 2 values 1 and -7. The sum of which is equal to -6.

Ans: B

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

A. -8
B. -6
C. 4
D. 8
E. 9
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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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What is the sum of all solutions to the equation |x + 3| = 4 ? 15 Oct 2024, 19:56
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We need to find What is the sum of all solutions to the equation |x + 3| = 4 ?

We have two cases as we have |x + 3|
-Case 1: x+3 ≥ 0 or x ≥ -3

=> |x + 3| = x + 3
=> x + 3 = 4
=> x = 1


But the condition was x ≥ -3 and x = 1 ≥ -3
=> x = 1 is a SOLUTION		-Case 2: x+3 ≤ 0 or x ≤ -3

=> |x + 3| = -(x + 3)
=> -(x + 3) = 4
=> -x - 3 = 4
=> x = -3 - 4 = -7

But the condition was x ≤ -3 and x = -7 ≤ -3
=> x = -7 is a SOLUTION

=> Sum of all the solutions for x = 1 + -7 = -6

So, Answer will be B
Hope it helps!

Watch the following video to MASTER Absolute Values

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