AnswersFL-1206310-Geometry A - FlexConditional Statements and Equivalence

Conditional Statements and Equivalence Answers

14 verified answers1 views
1
Free Preview

Let p and q be statements. Identify the truth table for q → p.

A
Option A
B
Option B
C
Option C
120908
Free Preview

The logical statement represents the inverse of the conditional statement “If you are human, then you were born on Earth.” Which statement is the converse? Are the converse and the inverse true statements? Explain.

Answers:
Selection 1:If you are not human, then you were not born on Earth.
Selection 2:If you were born on Earth, then you are human.
Selection 3:No, because there are nonhuman creatures on Earth.
120909

If you were not born on Earth, then you are not human.✔ If you were born on Earth, then you are human.If you are human, then you were not born on Earth.If you were born on Earth, then you are not human.

Answer not available
120910

Yes, because all humans were born on Earth.Yes, because there are nonhuman creatures on Earth.No, because all humans were born on Earth.✔ No, because there are nonhuman creatures on Earth.

Answer not available
120911

Let n be an integer in the conditional statement below.If the last digit of n is zero, then n is divisible by five.

Answers:
The hypothesis is::"The last digit of n is zero."
The conclusion is::"n is divisible by five."
The converse is::"If n is divisible by five, the the last digit of n is zero."
The contrapositive is::"If n is not divisble by five, then n does not end in zero."
120912

"The last digit of n is zero."✔ "n is divisible by five.""If n""Then n"

Answer not available
120913

✔ "If n is divisible by five, the the last digit of n is zero.""If the last digit of n is zero, then n is divisible by five.""If the last digit of n is not zero, then n is not divisible by five.""If n is not divisible by five, then the last digit of n is not zero."

Answer not available
120914

"If n is divisible by five, then it ends in zero.""If the last digit of n is zero, then n is divisble by five.""If the last digit of n is not zero then n is not divisble by five."✔ "If n is not divisble by five, then n does not end in zero."

Answer not available
120915

Which statement represents a true conclusion, based on the Venn diagram?

A
All real numbers are even numbers.
B
All numbers that are multiples of three are even numbers.
C
Some numbers that are multiples of three are also even numbers.
D
No numbers that are multiples of three are also even numbers.
120916

Given the statement "If Jack’s pet is a pig, then Jack’s pet cannot fly,” which statement represents the converse?

A
q → p, where p = Jack’s pet is a pig and q = Jack’s pet cannot fly
B
~q → ~p, where p = Jack’s pet cannot fly and q = Jack’s pet is a pig
C
p → q, where p = Jack’s pet is a pig and q = Jack’s pet cannot fly
D
q → p, where p = Jack’s pet is not a pig and q = Jack’s pet is a pig
120917

Given:p: student achieves 90 percent on the geometry final.q: student will receive a passing grade in geometry class.Which statement is logically equivalent to q → p?

A
If a student achieves 90 percent on the geometry final, then the student will pass geometry class.
B
If a student passes geometry class, then the student achieved 90 percent on the geometry final.
C
If a student did not achieve 90 percent on the geometry final, then the student did not pass geometry class.
D
If a student did not pass geometry class, then the student did not achieve 90 percent on the geometry final.
120918

Which is the contrapositive of p → q?

A
If 3x + 7 = −5, then 4x + 12 = –4.
B
If 4x + 12 = –4, then 3x + 7 = −5.
C
If 3x + 7 ≠ −5, then 4x + 12 ≠ –4.
D
If 4x + 12 ≠ –4, then 3x + 7 ≠ −5.
120919

Given the conditional statement: p → ~q Choose the logically equivalent statement.

A
p → q
B
~p → q
C
q → p
D
q → ~p
120920

Let n be an integer in the conditional statement below.If the last digit of n is zero, then n is divisible by five. The hypothesis is: The conclusion is: The converse is: The contrapositive is:

Answers:
Selection 1:"The last digit of n is zero."
Selection 2:"n is divisible by five."
Selection 3:"If n is divisible by five, the the last digit of n is zero."
Selection 4:"If n is not divisble by five, then n does not end in zero."

Did you find these answers helpful?

More from this Course

Assignment
14 verified answers

Conditional Statements and Equivalence

Assignment
14 verified answers

Conditional Statements and Equivalence

Assignment
10 verified answers

Conditional Statements and Equivalence