Question

The value of n from the set {6, 7, 8, 9} that holds true for 4n − 12 < 2n + 2 is .

Answer 1

Explanation:

Substitute each value given (6, 7, 8, 9) into n:

`4(6)-12<2(6)+2`

`24-12<12+2`

`12<14`

True.

`4(7)-12<2(7)+2`

`28-12<14+2`

`16<16`

False.

`4(8)-12<2(8)+2`

`32-12<16+2`

`20<18`

False.

`4(9)-12<2(9)+2`

`36-12<18+2`

`24<20`
False.

The only value in the set that is true for n is 6.