Name Date Period Homework 21 Conditional Statements Underline the hypothesis, and circle the conclusion of each conditional statement. 1. If you eat breakfast, then you will feel better at school.

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  1. Click ‘Get Form’ button to obtain the Homework 2 1 Conditional Statements form and access it for editing.
  2. Begin by entering your name, date, and period at the top of the form. This personal information is essential for identifying your submission.
  3. Proceed to the first section, where you need to underline the hypothesis and circle the conclusion of each conditional statement provided. Make sure to do this accurately for all four statements.
  4. In the next section, rephrase each statement in if-then form. Ensure the structure is clear and that you maintain the conditional relationship.
  5. For each conditional statement listed, write the converse, inverse, and contrapositive as instructed. This will involve understanding the logical relationships and rephrasing them correctly.
  6. Translate the statements involving p and q into their symbolic forms as indicated. Pay careful attention to the logical operators being used.
  7. Next, convert the symbolic forms back into written statements accurately reflecting the original meanings.
  8. Finally, in the last sections of the form, compose the converse and biconditional statements for the provided conditional statements, ensuring clarity and correctness in your formulations.
  9. Once you have completed all sections, review your work to ensure accuracy. After making any necessary revisions, you can save your changes, download, print, or share the completed form as needed.

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How do you find the conditional statement?

A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is called the hypothesis and Q is called the conclusion. Intuitively, “If P then Q” means that Q must be true whenever P is true.

Statement: All dogs have fleas. Conditional: If dog Then ​has fleas.

The contrapositive of "If p then q" is "If not q then not p" which is represented by ∼q⇒∼p.

Here are some examples of conditional statements: Statement 1: If you work overtime, then you'll be paid time-and-a-half. Statement 2: I'll wash the car if the weather is nice. Statement 3: If 2 divides evenly into , then is an even number.

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