To solve the inequality 2n + 9 > 15, we subtract 9 from both sides of the inequality:
2n + 9 - 9 > 15 - 9
Simplifying, we get:
2n > 6
Finally, we divide both sides of the inequality by 2:
2n/2 > 6/2
Simplifying further, we have:
n > 3
Therefore, the solution to the inequality is n > 3.
To check our solution, we can substitute a value greater than 3 into the original inequality and see if it holds true. Let's plug in n = 4:
2(4) + 9 > 15
8 + 9 > 15
17 > 15
Since 17 is indeed greater than 15, our solution of n > 3 is correct.
Thus, the solution to the inequality is n > 3.
Solve the inequality. Check your solutions.
2n + 9 > 15
1 answer
1 answer