I have a test coming up on CONNECTIONS ACADEMY SOLVING INEQUALITIES...can anyone help me i'm so confused.
Of course! I'd be happy to help you understand how to solve inequalities. First, let's start with the basics.
An inequality is a mathematical statement that compares two expressions using one of the following symbols: < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to).
To solve inequalities, you need to follow similar rules as solving equations. The main goal is to isolate the variable on one side of the inequality sign.
Here are the steps to solve a one-variable inequality:
1. Treat the inequality like an equation, with the exception of the direction of the inequality sign. If there are any terms on the same side as the variable, move them to the opposite side.
2. Perform any necessary operations to simplify the inequality. Remember to use the rules of algebra, such as adding, subtracting, multiplying, or dividing both sides by the same value.
3. If you multiply or divide both sides of the inequality by a negative number, remember to flip the direction of the inequality sign.
4. Continue simplifying the inequality until you isolate the variable on one side.
5. If applicable, express the solution using interval notation or set-builder notation.
It's often helpful to solve inequalities graphically, as well. Plot the inequality on a number line and shade the region where the solution exists.
Now, if you have specific questions or examples from your CONNECTIONS ACADEMY SOLVING INEQUALITIES course, feel free to ask or provide more details, and I can assist you further.
This is a great site for learning about inequalities.
https://www.mathsisfun.com/algebra/inequality-solving.html