Conditionals
Key Notes:
🎯 A conditional statement can be written as If A, then B. A is the hypothesis and B is the conclusion.
🎯A counterexample is an example in which the hypothesis is true, but the conclusion is false. If you can find a counterexample to a conditional statement, then that conditional statement is false. If there is no counterexample, then the conditional is true.
Learn with an example
💣 Is the following conditional true?
💣 If a polygon is a quadrilateral, then it has more than three sides.
- yes
- no
- Look at the given conditional:
- If a polygon is a quadrilateral, then it has more than three sides.
- The conditional is true because 4 > 3.
💣 Is the following conditional true? If f<3, then f≤3.
- yes
- no
- Look at the given conditional:
- If f<3, then f≤3.
- If f is less than 3, then f is also less than or equal to 3. So, the conditional is true.
💣 Is the following conditional true?
💣 If a triangle has an angle measuring less than 90 degrees, then it is acute.
- yes
- no
- Look at the given conditional:
- If a triangle has an angle measuring less than 90 degrees, then it is acute.
- The conditional is false because every triangle, including right and obtuse ones, has an angle measuring less than 90 degrees.
Let’s practice!🖊️
