# How to solve an Inequality

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• ﻿﻿Hi Mrs. Glen. I had a question on how to solve an inequality. I don't quite understand exactly how to.
• Sure, I would love to help and show you the steps on solving an inequality.﻿
• ﻿Now that we have set up and solved the equation, we are ready to check our answer.
• How to set up and solve an inequality using addition.﻿ Example Problem: a-42>-64 1st: a-42>-64 2nd: a-42>-64 a+42>+42 3rd: a>-22
• ﻿
• ﻿Okay!
• ﻿Lets look at the board and discuss how to set up and solve an inequality.
• How to check an inequality using addition. Continued Example Problem: a>-22 1st: a=-20 2nd:(-20)-42>-64 3rd: -62>-64 4th: T or F? -62>-64
• The goal when trying to solve an inequality is to get the variable by itself.
• Here are the steps on how to set up and solve an inequality using addition: 1st: Rewrite the equation 2nd: Isolate the variable by adding 42 to -42 and -64 3rd: After adding -42 to both sides, your solution should now be a>-22
• Steps to ﻿checking an inequality using Addition: 1st: Choose a number that is larger than -22 2nd: Substitute that number in for "a" and solve 3rd: Ask yourself if -62 is greater than -64 4th: If it's true, then therefore we can conclude that a>-22 is the solution to this inequality
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