The document provides instructions for solving different types of inequalities through addition, subtraction, and isolating variables. It explains that to solve inequalities, you treat them similarly to equations by applying the same operations to both sides so as not to change the relationship. The examples walk through solving linear inequalities with whole numbers and fractions by adding or subtracting values from both sides to isolate the variable. It also discusses combining like terms when they appear in an inequality.

1. Hannah Solves It! Inequalities with Addition & Subtraction Y – 6 < -10 71g – 70g < -7 that’s me Touch for answer 2 + x > 11 3

2. Just like in an equation, when trying to solve an inequality, you need to isolate the variable. It just means you gotta get the variable on a side all by itself. Here, all you gotta do is add 6 to both sides. An inequality is the relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.” < -10 Y - 6 + 6 + 6 variable What on earth do I do first? It may be hard, but you gotta do it. So let’s just get to it! Touch here for answer Touch here for answer

3. A variable is a letter or symbol that represents a value… Well, -6 + 6 = 0, so I guess that + 6 on the left side cancels everything but the variable out…yay! The variable is isolated already! < -10 Y - 6 + 6 + 6 If you add 6 to -10 on the other side, you get -4. Wow! The inequality is solved already! Y < -4 variable Touch here for answer Touch here for answer

4. A linear inequality in one variable is an inequality (1 variable) that can be written in the form ax + b < 0 or ax + b > 0, where a & b are real numbers and a ≠0. + x > 11 Well, just like the last inequality, we are going to need to isolate the variable. Wait a minute…this is just like last time! The only difference is that there is a fraction instead of only whole numbers. All that we are going to have to do is subtract (we added last time) 2/3 from both sides of the equation. Well, that was actually pretty easy. I wonder if the next inequality is going to make my brain start hurting… Touch here for answer Touch here for answer 3 2 3 - 2 3 - 2

5. When the number you are trying to get rid of (to isolate the variable) is positive , subtract it from both sides of the inequality. When it is negative , add it to both sides. + x > 11 The - 2/3 on the left side of the inequality cancels out the + 2/3. That leaves our variable all alone (which is what we wanted)! On the left side of the inequality, you just subtract 2/3 from 11, which is 10 1/3. There you go – that scary fraction inequality is solved already! x > 10 1 3 numbers with a variable 3 2 3 - 2 3 - 2 Touch here to continue Touch here to continue OK, I think I remember this…

6. Like Terms are terms whose variables (and their exponents such as the 2 in x 2 ) are the same. 71g – 70g < -7 + 6 + 6 What are the like terms in this inequality? Well, probably the two terms that end in “g!” To combine like terms, just pretend like the “like” part isn’t there, and do the math. Here, we just subtract 70 from 71, which equals 1, or just plain “g.” Look at that, our inequality is solved already! g < -7 Touch here to continue Like terms That doesn’t look too bad!! Touch here to continue

8. Ms. Umberger Transition to Algebra Don’t panic when you see an inequality  you would be amazed how easy they are!! CLASS INFORMATION