3-1 Linear Inequalities

Okayy, so this week I am going to explain how to solve linear inequalities problem. This is really easy. All it is, is basic algebra. There is only one or two different things. So first let me tell you some things you need to know.

Notes:

• If you divide or multiply by a negative number, you must reverse the sign
• > this sign means greater than
• < this sign means less than
• ≤ this sign means less than or equal to
• ≥ this sign means greater than or equal to

Okay, so now that you know everything you need to, I am going to work a few examples for you to better understand the process.

Example 1: -2x > 4

• You need to get x by itself.
• To do this you must divide by x.
• Since 2 is negative you are going to change the inequality sign.
• So you answer is going to be x < -2.

Example 2: 5x + 3 > 28

• You need to get x by itself.
• The first thing you need to do is subtract 3 from both sides.
• That would give you 5x > 25.
• Then you would divide both sides by 5.
• Since 5 is positive, you keep the inequality sign just as it is.
• Your answer is going to be x > 5.

And that is how you work these kind of problems. It is super easy! Well that's it for this week. Happy Mardi Gras!! :D

--Halie