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

$\frac{3}{5} < 0$

$\frac{8}{16} > \frac{1}{2}$

Solution:

We have to find the inequalities that are true

Option 1

$\frac{3}{5} < 0\\\\0.6 < 0$

0.6 is not less than 0

Thus this inequality is not true

Option 2

$\frac{4}{6} > \frac{1}{2}\\\\0.667 > 0.5$

0.667 is greater than 0.5

Thus this inequality is true

Option 3

$\frac{9}{11} < 1\\\\0.818 < 1$

0.818 is less than 1

Thus this inequality is true

Option 4

$\frac{8}{16} > \frac{1}{2}$

0.5 = 0.5

Thus the above inequality is not true