2-step Equations, Multi-step Equations, 2 Step Inequalities…

When you're solving an equation, you're essentially "unwinding" the operations that were performed on the variable. This means using inverse operations.

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Solving multi-step inequalities combines what you've learned about two-step equations with the special rule for inequalities. The steps are generally:
1. Simplify both sides of the inequality. This means combining like terms, and distributing if necessary.
2. Move variable terms to one side and constant terms to the other, using addition or subtraction.
3. Isolate the variable using multiplication or division.

Solving a two-step equation means finding the value of the unknown variable. These equations involve two different operations (like multiplication and addition, or division and subtraction). To solve them, you'll use inverse operations to get the variable by itself.

The general strategy is:
1. Undo addition or subtraction: This means if you see + 5, you'll subtract 5 from both sides. If you see - 3, you'll add 3 to both sides.
2. Undo multiplication or division: If you see 2x, you'll divide both sides by 2. If you see x/4, you'll multiply both sides by 4.

Multi-step equations are just like two-step equations, but with extra steps involved before you get to the familiar two steps. The goal is always the same: get the variable all by itself on one side of the equals sign.

When we talk about inequalities, we're comparing two expressions that aren't necessarily equal. Instead, one might be greater than, less than, or greater/less than or equal to the other.

Here are the symbols you'll see:
* >: Greater than (e.g., x > 5 means x can be 6, 7, 8...)
* <: Less than (e.g., x < 5 means x can be 4, 3, 2...)
* ≥: Greater than or equal to (e.g., x ≥ 5 means x can be 5, 6, 7...)
* ≤: Less than or equal to (e.g., x ≤ 5 means x can be 5, 4, 3...)

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