Solving Inequalities by adding or subtracting, checking the inequality & graphing it!! This is so easy you won’t even need one of these!!!

Solving the inequality You are going to solve the inequality just like you solve two step equations!! Add or subtract a number from both sides of the inequality.

Example 1. n – 8 <  add 8 to both sides  add 8 to both sides n < 23 n < ≥ a  subtract 7 from both sides  subtract 7 from both sides -11 ≥ a -11 ≥ a

“Do we have to do the check?” Let’s check the answers to our examples! 1. n – 8 < 15  n < 23 What are some possible solutions? What are some possible solutions? -Anything smaller than 23, let’s try 22! -Anything smaller than 23, let’s try 22! n – 8 < 15 n – 8 < – 8 < – 8 < < < 15 ABSOLUTELY

“Do we have to do the check?” Let’s check the answers to our examples! ≥ a + 7  -11 ≥ a What are some possible solutions? What are some possible solutions? -Anything smaller than -11, let’s try -12! -Anything smaller than -11, let’s try -12! -4 ≥ a ≥ a ≥ ≥ ≥ -5 ABSOLUTELY

Then we have to graph it! Let’s graph the answers to our examples! 1. n – 8 < 15  n < ≥ a + 7  -11 ≥ a

Your turn!! Solve it, check it, graph it (in this order). 1. w + 5 < 62. x – 3 < ≤ y z + 1 ≥ 6