Question

For the given intervals of integers, match the following intervals by it's length.

• A. $4$
• B. $14$
• C. $10$
• D. $8$

Answer 1

Lenght of an interval $(a,b),[a,b),(a,b]\text{or}[a,b]$ is given as $|b-a|.$

$1.(5,9)$
Length $=|9-5|=4$

$2.[-5,9)$
Length $=|9-(-5)|=14$

$3.(-9,1]$
Length $=|1-(-9)|=10$

$4.[-9,-1]$
Length $=|-1-(-9)|=8$