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Expert-verified Found in: Page 11 ### Precalculus Mathematics for Calculus

Book edition 7th Edition
Author(s) James Stewart, Lothar Redlin, Saleem Watson
Pages 948 pages
ISBN 9781337067508 # Express the inequality in interval notation, and then graph the corresponding interval.$1\le x\le 2$

The inequality form of the given interval $\left[1,2\right]$.

See the step by step solution

## Step 1. Apply the concept of interval and inequality.

If $a, then the open interval from a to b consists of all numbers between a and b and is denoted by $\left(a,b\right)$. The closed interval from a to b includes the endpoints and is denoted by $\left[a,b\right]$.

Using the set-builder form, we can write the intervals as inequality:

$\left(a,b\right)=\left\{x|a

## Step 2. Express in terms of inequality.

Given inequality is $1\le x\le 2$

This includes all the numbers between 1 and 2, including both.

Using set-builder form to express the inequality:

$\left\{x|1\le x\le 2\right\}$

So, the interval is given by $\left[1,2\right]$

## Step 3. Graph the interval.

From step 2, we have $\left[1,2\right]$

This represents all the numbers between 1 and 2, including both.

Since 1 and 2 are included in the interval, they will be represented by closed circles.

So, the graph will be:  ### Want to see more solutions like these? 