Question

A) give a verbal description of the subset of real numbers represented by the inequality or the interval, B) sketch the subset on the rest of real number line, and C) state whether the interval is bounded or unbounded

Answer 1

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 $x > 5$ is the set of all real numbers greater than 5
• The interval is bounded (right bounded to be precise)

The inequality is given as:

$x > 5$

$x > 5$ means x greater than 5

So, the verbal description is as follows:

The set of all real numbers greater than 5

To sketch $x > 5$ on a number line, we consider the following:

• > means greater than; so, the arrow on the number line must point to the right

• $> 5$ 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.

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

This is represented as: $(5,\infty)$

Notice that 5 is at the right, while $\infty$ is at the left.

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

Read more about inequalities at:

https://brainly.com/question/17194874