Question

Determine whether each number is a solution of the

given inequality.

6-n > 11
when n = -5

O YES (n = -5 is a solution of the inequality)
O NO (n = -5 is not a solution of the inequality)

Answer 1

NO (n = -5 is not a solution to the inequality).

Explanation:

Given

`6-n-6>11-6`

Subtract 6 from both sides

`6-n-6>11-6`

Simplify

`-n>5`

Multiply both sides by -1 (reverse the inequality)

`\left(-n\right)\left(-1\right)<5\left(-1\right)`

Simplify

`n<-5`

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

`6-n-6>11-6`

substitute n = -5

6 - (-5) - 6 > 5

6+5-6 > 5

5 > 5

FALSE