Answer:
The inequality [tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex] is true.
Step-by-step explanation:
Given
[tex]\frac{8}{5}<\frac{9}{10}[/tex]
FALSE
Reason: 8/5 or 1.6 is greater than 9/10 or 0.9
[tex]1>\frac{6}{5}[/tex]
FALSE
Reason: 1 is smaller than 6/5 or (1.1)
[tex]\frac{5}{2}<2\frac{1}{2}[/tex]
converting mixed number to improper fraction
[tex]\frac{5}{2}<\frac{5}{2}[/tex]
FALSE
Reason: 5/2 can not be less than 5/2
[tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex]
[tex]2<\frac{5}{2}[/tex]
TRUE
Reason: 2 is indeed smaller than 5/2 or 5.2 ∵ 5/2 = 2.5
Therefore, inequality [tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex] is true.
