Question

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Answer 1

The inequality
`(8)/(4)\:<(5)/(2)\:` is true.

Explanation:

Given

`(8)/(5)<(9)/(10)`

FALSE

Reason: 8/5 or 1.6 is greater than 9/10 or 0.9

`1>(6)/(5)`

FALSE

Reason: 1 is smaller than 6/5 or (1.1)

`(5)/(2)<2(1)/(2)`

converting mixed number to improper fraction

`(5)/(2)<(5)/(2)`

FALSE

Reason: 5/2 can not be less than 5/2

`(8)/(4)\:<(5)/(2)\:`

`2<(5)/(2)`

TRUE

Reason: 2 is indeed smaller than 5/2 or 5.2 ∵ 5/2 = 2.5

Therefore, inequality
`(8)/(4)\:<(5)/(2)\:` is true.