Maths-

General

Easy

Question

# How is solving an absolute value equation similar to solving an equation that does not involve absolute value? How is it different?

## The correct answer is: Both equations are different in the sense that an absolute value equation always admits two cases and gives two(maybe equal) solutions for x, whereas an equation that does not have an absolute value may give only one solution.

### Hint:

An absolute value equation contains a term with ‘modulus’. The

Step by step solution:

While solving both an absolute value equation and an equation that does not involve absolute value, we need to find values for x which satisfy the equation. After using the definition of absolute value of x, which is

Both equations become similar.

An absolute value equation can be considered as a pair of equations where neither equation involves absolute value.

Both equations are different in the sense that an absolute value equation always admits two cases and gives two(maybe equal) solutions for x, whereas an equation that does not have an absolute value may give only one solution.

Note:

Geometrically, the absolute value of a number may be considered as its distance from zero regardless of its direction. Solving both equations have a similar approach.

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