Question

Solve the inequality 12n - 9> 5n + 47

Answer 1

`\large\boxed{n>8\to n\in(8,\ \infty)}`

Explanation:

`12n-9>5n+47\qquad\text{add 9 to both sides}\\\\12n>5n+56\qquad\text{subtract 5n from both sides}\\\\7n>56\qquad\text{divide both sides by 7}\\\\n>8`

Answer 2

n >8

Explanation:

12n - 9> 5n + 47

Subtract 5n from each side

12n-5n - 9> 5n-5n + 47

7n -9> 47

Add 9 to each side

7n-9+9 >47+9

7n > 56

Divide each side by 7

7n/7 >56/7

n >8