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.

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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.