Reverse the inequality
Write, solve, and graph inequalities in Grade 9 Algebra. Understand solution sets, open vs. closed circles on number lines, and interval notation. (Saxon Algebra 1, Grade 9)
Key Concepts
Property Remember to reverse the inequality when multiplying or dividing both sides by a negative number. Explanation Multiplying or dividing an inequality by a negative number is like stepping through a mirror—everything gets reversed! The 'less than' sign flips to 'greater than,' and vice versa. It's the one rule you must remember to avoid a wacky, upside down answer. Don't forget to flip that sign! Examples To solve $4x 2y 8$, you get $ 2y 4x + 8$. Divide by $ 2$ and flip the sign: $y < 2x 4$. To solve $ 5y \le 25$, you divide by $ 5$ and flip the sign to get $y \ge 5$.
Common Questions
What is Reverse the inequality in Grade 9 Algebra?
Property Remember to reverse the inequality when multiplying or dividing both sides by a negative number Mastering this concept builds a foundation for advanced algebra topics.
How do you approach Reverse the inequality problems step by step?
Explanation Multiplying or dividing an inequality by a negative number is like stepping through a mirror—everything gets reversed Use this method consistently to avoid common errors.
What is a common mistake when studying Reverse the inequality?
The 'less than' sign flips to 'greater than,' and vice versa Always check your work by substituting back into the original problem.