Solve the inequality. Check your solution.

Question

3>- 12+ 5n

Answer 1

To solve the inequality 3 > -12 + 5n, we can start by isolating the variable on one side of the inequality symbol.

Adding 12 to both sides of the inequality, we get:

3 + 12 > -12 + 12 + 5n
15 > 5n

Next, we can divide both sides of the inequality by 5 to solve for n:

15/5 > 5n/5
3 > n

So, the inequality is satisfied when n is less than 3.

To check the solution, we can substitute a value of n that is less than 3 into the original inequality and verify if it holds true.

Let's say n = 2:

3 > -12 + 5(2)
3 > -12 + 10
3 > -2

Since -2 is less than 3, the inequality holds true for n = 2.

Thus, the solution to the inequality 3 > -12 + 5n is n < 3.