Question

Solve the following inequality:
-7n + 5 ≥ 5n + -43

Answer 1

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.

Answer 2

-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

Answer 3

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".

Answer 4

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

Answer 5

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

Answer 6

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