In ACT Math, I'm finding inequalities really challenging. What are some tips or techniques for solving inequalities-based problems? How do you guys handle these types of questions?
I understand that inequalities can be a bit tricky, but don't worry, with a little practice and understanding of key concepts, you'll get the hang of them. Here are some steps and tips to help you solve inequality-based problems in ACT Math:
1. Treat inequalities like equations: When solving inequality problems, approach them as you would with an equation. Add, subtract, multiply, or divide both sides, being careful to maintain the same inequality sign.
2. Reverse the inequality when multiplying or dividing by a negative number: Remember that when you multiply or divide both sides of an inequality by a negative number, the inequality sign reverses (e.g., '>' becomes '<').
3. Combine like terms: If there are terms on the same side of the inequality, combine them to simplify the inequality before solving.
4. Solve step-by-step: Break down the problem and make sure you understand each portion. Then, attack the problem step by step, just like you would with a standard equation.
5. Practice! The more you practice, the more comfortable you'll become with inequality problems. Try working on a variety of problems to gain experience with different situations.
Keep these tips in mind, and soon you'll find inequalities much easier to deal with.
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