Question

Which solution(s) is a solution for the following inequality?

4x > 15

a.III
b.I and II
c.II and III
d.I, II, and III

Answer 1

a.III

Explanation:

We solve for x:

4x > 15

it gives

x > 3.75

Now we have to analyze our choices and see which solutions satisfy this inequality.

`3(1)/(2) =3.5`

is not greater than 3.75; this isn't a solution.

`3(3)/(4)=3.75`

is not greater than 3.75; this isn't a solution.

`4(1)/(4)=4.25`

is greater than 3.75; this is a solution.

Thus only choice III is correct.