Question

To write an absolute value equation or word problem, you need to learn two things. The first is the central value, c. Fill in the equation below with the correct word for the second value that you need.

Option 1: |x - c| = Positive constant
Option 2: |x - c| = Variable
Option 3: |x - c| = Any real number
Option 4: | x- c|= Constants

Answer 1

In the context of absolute value equations, to complement the central value, c, you need a constant. The absolute value equation is then represented as |x - c| = Constants, which signifies that x is a certain constant distance from c.

Step-by-step explanation:

To write an absolute value equation, besides the central value, c, the second value you need is a constant that the absolute expression is equal to. One correct answer to fill in the blank would be: Option 4: |x - c| = Constants. The constant is the value that the absolute value of the expression is set to be equal to.

An absolute value equation of the form |x - c| = constant represents the distance from x to the central value c on the number line is some constant value. For example, if we have an equation |x - 5| = 3, this means that x is either 3 units away from 5 in the positive direction (x = 8) or in the negative direction (x = 2).