## Pooh_ 2 years ago Solve the following inequality: -7n + 5 ≥ 5n + -43

1. JakeV8

You solve this similar to how you would solve an equation. First, you need all the "n" terms on one side of the inequality, and all the number terms on the other side.

2. JakeV8

-7n + 5 ≥ 5n + -43 So, perhaps you want to start by adding 7n to both sides to "move" it over to the right side: -7n + 5 ≥ + 5n + -43 +7n +7n ---------------------------- 7n - 7n + 5 ≥ 12n - 43 5 ≥ 12n - 43

3. JakeV8

Then, you would need to add 43 to both sides to get the numbers all on the left side. Finally, you need to divide both sides by 12, since you need just "n" on the right, not "12n".

4. Pooh_

Thanks this helped somewhat ..i still don't really get it though

5. JakeV8

You started with: -7n + 5 ≥ 5n + -43 Then add 7n to both sides: 7n -7n + 5 ≥ 7n + 5n + -43 And simplify: 5 ≥ 12n + -43 then add 43 to both sides: 43 + 5 ≥ 12n + -43 + 43 and simplify again: 48 ≥ 12n Then divide both sides by 12: 48 / 12 ≥ 12n / 12 And simplify the final time: 4 ≥ n

6. Pooh_

Oh okay thank! Would i start with the left side first on other inequalities?