If the absolute value of x is 4, what is the value of x?
Responses
A -16 or 16-16 or 16
B -4-4
C -4 or 4-4 or 4
D 4
The correct answer is D) 4.
The absolute value of a number is the distance of that number from zero on the number line. The absolute value of 4 is 4.
The value of x when the absolute value of x is 4 can be determined by considering the definition of absolute value. The absolute value of a number is the distance of that number from zero on the number line. Therefore, for this question, the value of x can be either positive 4 or negative 4.
So, the correct answer is option C: -4 or 4.
To find the value of x when the absolute value of x is 4, you need to consider both the positive and negative values that have an absolute value of 4.
The absolute value of a number is its distance from zero on the number line. So if the absolute value of x is 4, it means that x is 4 units away from zero in either the positive or negative direction.
In this case, the answer choices are:
A) -16 or 16
B) -4
C) -4 or 4
D) 4
The correct answer is C) -4 or 4. Both -4 and 4 have an absolute value of 4 since they are both 4 units away from zero, but in opposite directions.
To verify this, you can substitute the values of -4 and 4 into the absolute value expression. You'll find that both absolute values equal 4:
|(-4)| = 4
|(4)| = 4
Therefore, the value of x when the absolute value of x is 4 is -4 or 4.