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

Respuesta :

You may solve this problem in two ways:

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

[tex] \dfrac{4n}{4} < \dfrac{16}{4} \iff n < 4 [/tex]

So, if [tex] n [/tex] 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 [tex] n=1 [/tex], you have [tex] 4<16 [/tex], which is true.

If [tex] n=2 [/tex], you have [tex] 8<16 [/tex], which is true.

If [tex] n=3 [/tex], you have [tex] 12<16 [/tex], which is true.

If [tex] n=4 [/tex], you have [tex] 16<16 [/tex], which is false.

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