Question

Write the inequality using interval notation and illustrate the inequality using the real number line.X20

Answer 1

Interval notation: [0, ∞)

Graph:

Step-by-step explanation

In interval notation we use parenthesis and brackets to group the intervals. Brackets [ or ] indicate that the number in the extreme of the interval is included and parenthesis ( or ) indicate that the number is not included. For infinite we always use parenthesis.

For example:

`(a,b\rbrack`

in this interval, a is not included and b is included - which means numbers greater than a and less or equal to b --> a < x ≤ b.

In this problen we have x ≥ 0, which in words mean numbers greater than or equal to zero. In interval notation we have to use a left bracket for zero (because it includes the number) and a right parenthesis with an infinite symbol, because there's no upper bound indicated. Therefore, in interval notation this is [0, ∞).

To graph this, we first draw a number line where we can see the extremes of the interval or intervals. Then we can use a bracket or parenthesis for the extremes and if one of them is an infinite symbol, we have to indicate that with an arrow - a left arrow for -∞ and a right arrow for ∞.