Answer:
NO (n = -5 is not a solution to the inequality).
Step-by-step explanation:
Given
[tex]6-n-6>11-6[/tex]
Subtract 6 from both sides
[tex]6-n-6>11-6[/tex]
Simplify
[tex]-n>5[/tex]
Multiply both sides by -1 (reverse the inequality)
[tex]\left(-n\right)\left(-1\right)<5\left(-1\right)[/tex]
Simplify
[tex]n<-5[/tex]
Therefore, n = -5 is NOT a solution of the inequality because 'n' must be less than -5.
Hence,
NO (n = -5 is not a solution to the inequality).
Verification:
Given
[tex]6-n-6>11-6[/tex]
substitute n = -5
6 - (-5) - 6 > 5
6+5-6 > 5
5 > 5
FALSE
