Question

|x|=5 solve for x modulus

Answer 1

Concept:

The absolute value function carries any positive or negative term and converts it into its positive form. So, we must solve the term within the absolute value function for both its negative and positive equivalent.

Given:

It is given that |x| = 5

Find:

We have to solve for x modulus.

Solution:

First, remove the absolute value term by  marking ± on the right side of the  given equation

We get,

x = ± 5

So, we can write

x = 5

Also,

x = - 5

Hence, the solution for x modulus is 5 and -5.

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Answer 2

Answer:

The solutions are x = 5 and x = -5.

Step-by-step explanation:

Modulus function:-

• The modulus function is also called the absolute value function which gives the magnitude or the absolute value of numbers irrespective of the number being positive or negative.
• The modulus function is denoted as $|x|$.
• Mathematically,

        $|x|=\left\{\begin{array}{c}x\ ,\ x \geq 0\\-x\ ,\ x < 0\end{array}$

Step 1 of 1

Given: |x| = 5

To find the values of x.

Since |x| = 5.

⇒ x = 5

This means the line is parallel to the y-axis from the point x = 5.

Also,

⇒ x = -5

This means the line is parallel to the y-axis from the point x = -5.

Final answer: The solutions are x = 5 and x = -5.

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