Question

Which values from the specified set make up the solution set of the inequality?

4n<16 ; {1,2,3,4}


Select ALL OF THE correct answers.


A. 1


B. 2


C. 3


D. 4

Answer 1

You may solve this problem in two ways:

If you solve the inequality explicitly (divide both sides by 4), you get

`(4n)/(4) < (16)/(4) \iff n < 4`

So, if
`n` has to be stricktly less than 4, you can only choose 1, 2 and 3 as answers.

Alternatively, you can plug in all of the values you're proposed and check if the inequality holds:

If
`n=1`, you have
`4<16`, which is true.

If
`n=2`, you have
`8<16`, which is true.

If
`n=3`, you have
`12<16`, which is true.

If
`n=4`, you have
`16<16`, which is false.

So, again, only 1, 2 and 3 are solutions.