Mathematics

Grade10

Easy

Question

# For what value of x is the expression undefined?

- -8
- -3
- 0
- 4

Hint:

### A rational number is a sort of real number in mathematics, and it takes the form p/q, where q is not equal to zero. Here we have given the expression , we have to find for what value of x is the expression undefined. We can use the concept of rational numbers to find the value of x.

## The correct answer is: -3

### In mathematics, any number that can be written as p/q where q 0 is considered a rational number. Additionally, every fraction that has an integer denominator and numerator and a denominator that is not zero falls into the category of rational numbers. The outcome of dividing a rational number, or fraction, will be a decimal number, either a terminating decimal or a repeating decimal.

Now we have given the expression as:

The expression is undefined when denominator is zero, so:

So at the values -4, -3 and 3, x is undefined.

So here the concept of rational numbers is used. When the denominator is 0, a rational expression has no specified meaning. Set the denominator to 0 and solve for x to get the values of x that lead to a denominator of 0. So at the values -4, -3 and 3, x is undefined.