Question

Mich inequalities are true?

√5 <2.3 < 56
√5 <2.4 < 56
74 < 5 5.5
√3 <3 <3
V8 <2.9
√A <4.5 < 5
Which sets of inequalities are true

Answer 1

`(a)\ \sqrt5 <2.3 < 5.6`

`(b)\ \sqrt 5 <2.4 < 5.6`

`(e)\ \sqrt 8 <2.9`

`(f)\ \sqrt5 <4.5 < 5`

Explanation:

Required

Which are true

`(a)\ \sqrt5 <2.3 < 5.6`

Take square root of 5

`2.2 <2.3 < 56` --- This is true

`(b)\ \sqrt 5 <2.4 < 5.6`

Take square root of 5

`2.2 <2.4 < 56` --- This is true

`(c)\ 7.4 < 5 <5.5`

This is false because
`7.4 > 5`

`(d)\ \sqrt 3 <3 <3`

This is false because
`3 = 3` not
`3 < 3`

`(e)\ \sqrt 8 <2.9`

Take square root of 8

`2.8 <2.9` --- This is true

`(f)\ \sqrt5 <4.5 < 5`

Take square root of 5

`2.2 <4.5 < 5` --- This is true