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Updated on: 18 Jul 2025, 04:22
Originally posted by BrushMyQuant on 08 Dec 2023, 22:03.
Last edited by BrushMyQuant on 18 Jul 2025, 04:22, edited 1 time in total.
Last edited by BrushMyQuant on 18 Jul 2025, 04:22, edited 1 time in total.
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Question Stats:
96% (00:19) correct
4%
(00:44)
wrong
based on 147
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Find the Sum of all values of x where |x| = 4?
A. -8
B. -4
C. 0
D. 4
E. 8
Source: BrushMyQuant
Playlist on Solve problems on Absolute Value here
A. -8
B. -4
C. 0
D. 4
E. 8
Source: BrushMyQuant
Playlist on Solve problems on Absolute Value here
09 Dec 2023, 02:53
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The equation ∣x∣ = 4 refers to the absolute value of x. The absolute value function essentially measures the "distance" of a number from zero on the number line, regardless of the direction (positive or negative).
In this case, the equation ∣x∣ = 4 means that the distance of x from 0 is 4 units. This can happen in two scenarios:
1. x is 4 units to the right of 0, i.e., x = 4
2. x is 4 units to the left of 0, i.e., x = -4
So, the values of x that satisfy ∣x∣ = 4 are x = 4 and x = −4
Therefore, the sum of all values of x will be 4+(−4) = 0
In this case, the equation ∣x∣ = 4 means that the distance of x from 0 is 4 units. This can happen in two scenarios:
1. x is 4 units to the right of 0, i.e., x = 4
2. x is 4 units to the left of 0, i.e., x = -4
So, the values of x that satisfy ∣x∣ = 4 are x = 4 and x = −4
Therefore, the sum of all values of x will be 4+(−4) = 0
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