# What is the solution to 4|0.5x - 2.5| = 0?

x = 1.25, x = 5, x = -1.25, x = -5

**Solution:**

**A modulus function gives the magnitude of a number irrespective of its sign. It is also called the absolute value function.**

**In mathematics, the modulus of a real number x is given by the modulus function, denoted by |x|. It gives the non-negative value of x.**

**The modulus or absolute value of a number is also considered as the distance of the number from the origin or zero.**

Given equation is:

4|0.5x - 2.5| = 0

For solving mod first divide both sides by 4

We get |0.5x - 2.5| = 0

**Now , when we will remove the absolute value term it will create a (+/-) sign on the right side of the equation.**

That is |x| = (+/-)x

Therefore,

0.5x - 2.5 = (+/-) 0

0.5x - 2.5 = 0

0.5x = 2.5

x = 2.5/0.5

x = 5

**Hence the required value is 5.**

## What is the solution to 4|0.5x - 2.5| = 0?

**Summary:**

The solution to the equation 4|0.5x - 2.5| = 0 or the value of x is 5.

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