Question

Which inequalities are true? Check all that apply. Three-fifths < 0 Four-sixths greater-than one-half Nine-elevenths < 1 Three-eighths Eight-sixteenths greater-than one-half

Answer 1

`(3)/(5) < 0`

`(8)/(16) > (1)/(2)\\\\`

Solution:

We have to find the inequalities that are true

Option 1

`(3)/(5) < 0\\\\0.6 < 0`

0.6 is not less than 0

Thus this inequality is not true

Option 2

`(4)/(6) > (1)/(2)\\\\0.667 > 0.5`

0.667 is greater than 0.5

Thus this inequality is true

Option 3

`(9)/(11) < 1\\\\0.818 < 1`

0.818 is less than 1

Thus this inequality is true

Option 4

`(8)/(16) > (1)/(2)\\\\`

0.5 = 0.5

Thus the above inequality is not true