What is an discriminant

a function of the coefficients of a polynomial equation whose value gives information about the roots of the polynomial.

A function of the coefficients of a polynomial equation whose value gives information about the roots of the polynomial.

An inequality is an expression which makes comparison between unequal expressions i.e. both sides of the inequality sign are not equal.

The verbal description of is the set of all real numbers greater than 5 The interval is bounded (right bounded to be precise)

The inequality is given as:

means x greater than 5

So, the verbal description is as follows:

The set of all real numbers greater than 5

To sketch on a number line, we consider the following:

> means greater than; so, the arrow on the number line must point to the right implies that the arrow must start on 5> also implies that the circle on 5 must be an open circle

See attachment for the sketch

To determine if the interval is bounded or not, we do the following.

means that the x starts at a value greater than 5, and the value of x has no end.

This is represented as:

Notice that 5 is at the right, while is at the left.

This means that the interval is bounded (right bounded to be precise)

Read more about inequalities at: