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Solve -6 < 3n +9 < 21

User Gregory
by
8.6k points

1 Answer

2 votes

The given inequality is expressed as

- 6 < 3n + 9 < 21

We would split the inequality into 2 parts

- 6 < 3n + 9

3n + 9 < 21

Solving the first part,

- 6 < 3n + 9

Subtract 9 from both sides of the inequality

- 6 - 9 < 3n + 9 - 9

- 15 < 3n

3n > - 15

n > - 15/3

n > - 5

Solving the second part, it beomes

3n + 9 - 9 < 21 - 9

3n < 21 - 9

3n < 12

n < 12/3

n < 4

Therefore, the solution is a combination of both solutions. It becomes

- 5 < n < 4

Solve -6 < 3n +9 < 21-example-1
User Zeeshan Ali
by
8.9k points

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