Question

directions: given the description of an interval, identify the type of interval and write the interval in both inequality and interval notation. 9. x is less than 100 and greater than 5. type of interval (circle one): finite infinite inequality notation: interval notation:

Explanation:

Step1: Write the inequality

The statement "x is less than 100 and greater than 5" can be written as $5 < x<100$.

Step2: Determine the type of interval

Since both endpoints 5 and 100 are finite, the type of interval is FINITE.

Step3: Write the interval - notation

The interval - notation for $5 < x<100$ is $(5,100)$.

Answer:

Type of Interval: FINITE
Inequality Notation: $5 < x<100$
Interval Notation: $(5,100)$