ashlyvalladares11
Answered

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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)

Determine Whether Each Number Is A Solution Of The Given Inequality 6n Gt 11 When N 5 O YES N 5 Is A Solution Of The Inequality O NO N 5 Is Not A Solution Of Th class=

Sagot :

absor201

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

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