Step-by-step explanation:
Substitute each value given (6, 7, 8, 9) into n:
[tex]4(6)-12<2(6)+2[/tex]
[tex]24-12<12+2[/tex]
[tex]12<14[/tex]
True.
[tex]4(7)-12<2(7)+2[/tex]
[tex]28-12<14+2[/tex]
[tex]16<16[/tex]
False.
[tex]4(8)-12<2(8)+2[/tex]
[tex]32-12<16+2[/tex]
[tex]20<18[/tex]
False.
[tex]4(9)-12<2(9)+2[/tex]
[tex]36-12<18+2[/tex]
[tex]24<20[/tex]
False.
The only value in the set that is true for n is 6.
