Q15.
Question
Example 1 Identify the hypothesis and conclusion of each statement.
If you are in a grocery store, then you will buy food.
Step-by-Step Solution
Verified Answer
The hypothesis is “you are in a grocery store” and the conclusion is “you will buy food”.
1Step 1. State the concept.
In an if-then statement, the part of the statement immediately following “if” is the hypothesis, and the part of the statement immediately following “then” is the conclusion.
2Step 2. List the given data.
The given statement is “If you are in a grocery store, then you will buy food.”
3Step 3. Find the hypothesis.
The part of the given statement immediately following “if” is “you are in a grocery store”. Then, the hypothesis is “you are in a grocery store”.
4Step 4. Find the conclusion.
The part of the given statement immediately following “then” is “you will buy food”. Then, the conclusion is “you will buy food”.
Other exercises in this chapter
Q13.
Find a counterexample for each conditional statement.If a number y is multiplied by 13, then 13y<y.
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Example 1 Identify the hypothesis and conclusion of each statement.If a team is playing at home, then they wear their white uniforms.
View solution Q16.
Identify the hypothesis and conclusion of each statement.If 2n−7>25 then n>16.
View solution Q17.
Example 1 Identify the hypothesis and conclusion of each statement.If x equals y and y equals z, then x equals z.
View solution