Solving 'OR' Inequalities
Solve OR compound inequalities in Grade 9 Algebra where solutions satisfy at least one condition. Write the union of solution sets and graph both rays on a number line.
Key Concepts
Property An 'OR' compound inequality is true if a value satisfies at least one of the two separate inequalities.
Explanation 'OR' gives you choices! The solution can be in one zone or another, so you solve each inequality completely on its own, like they're two different problems. Your final answer is the combination of all possible solutions from both parts, and the graph often shows arrows pointing away from each other.
Examples Solve $4x 5 < 13$ OR $3x + 2 14$. The first part gives $4x < 8$, so $x < 2$. The second gives $3x 12$, so $x 4$. The solution is $x < 2$ OR $x 4$. Solve $ 10 2(x 1)$ OR $15 < 3(x + 1)$. First part: $ 5 x 1$, so $ 4 x$. Second part: $5 < x + 1$, so $4 < x$. The solution is $x < 4$ OR $x 4$.
Common Questions
What is Solving 'OR' Inequalities in Grade 9 Algebra?
Property An 'OR' compound inequality is true if a value satisfies at least one of the two separate inequalities Mastering this concept builds a foundation for advanced algebra topics.
How do you approach Solving 'OR' Inequalities problems step by step?
The solution can be in one zone or another, so you solve each inequality completely on its own, like they're two different problems Use this method consistently to avoid common errors.
What is a common mistake when studying Solving 'OR' Inequalities?
Your final answer is the combination of all possible solutions from both parts, and the graph often shows arrows pointing away from each other Always check your work by substituting back into the original problem.