Question

If | 8x -2 | < 4, Which of the following is true of x? Explain as well.

Answer 1

The true expression of the variable x in the inequality expression given as |8x - 2| < 4 is -0.25 < x < 0.75

What are inequality expressions?

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

How to determine the true expression of the variable x?

The inequality expression is given as

|8x - 2| < 4

Divide through the above equations by 2

So, we have the following inequality expression

|4x - 1| < 2

Remove the absolute value sign from the inequality expression

So, we have

-2 < 4x - 1 < 2

Add 1 to all sides of the above inequality expression

So, we have

-1 < 4x < 3

Divide through the above inequality expression by 4

So, we have

-0.25 < x < 0.75

Hence, the true expression of the variable x in the inequality expression given as |8x - 2| < 4 is -0.25 < x < 0.75

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