Disjunction
Understand disjunction in Grade 9 math — A solution to a disjunction is any number that makes either of the inequalities true. Part of Advanced Factoring and Functions for Grade 9.
Key Concepts
Property A disjunction is a compound inequality that uses the word OR. A solution to a disjunction is any number that makes either of the inequalities true. These must be written as two separate inequalities connected by OR. Explanation Think of a disjunction as a choice at a theme park: you can ride the roller coaster OR the Ferris wheel. You don't have to do both! Any number that satisfies at least one of the conditions is part of the solution, which is why the graphs often shoot off in opposite directions. Examples All real numbers greater than 9 or less than 3 is written as $x < 3$ OR $x 9$. All real numbers no more than 7 or no less than 11 is written as $x \le 7$ OR $x \ge 11$. The solution to $x 3 < 5$ OR $ 2x < 6$ is $x < 2$ OR $x 3$.
Common Questions
What is 'Disjunction' in Grade 9 math?
A solution to a disjunction is any number that makes either of the inequalities true. These must be written as two separate inequalities connected by OR.
How do you solve problems involving 'Disjunction'?
These must be written as two separate inequalities connected by OR. Explanation Think of a disjunction as a choice at a theme park: you can ride the roller coaster OR the Ferris wheel.
Why is 'Disjunction' an important Grade 9 math skill?
Remember, the hypotenuse (c) is always the longest side and must be alone on one side of the equation.. Don't accidentally plug a leg length in for c!.