Conditional Statements and Symbolic Representations

Front

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.

Back

If I have a dog, then I have a Siberian Husky.

Front

If Emily is not late to class, then she will not be marked tardy. What is this? If Emily is late to class, then she will be marked tardy.

Back

Inverse

Front

If Jenny buys a guitar, then she will not buy a keyboard. If Jenny does buy a keyboard, then she will not buy a guitar.

Back

Contrapositive

Front

What is the contrapositive to this? If the food is in the oven, then it is cooked.

Back

If the food is not cooked, then it is not in the oven.

Front

Identify the contrapositive of: "If I have a Siberian Husky, then I have a dog."

Back

If I do not have a dog, then I do not have a Siberian Husky.

Front

Consider the following statements.
p: two lines are parallel q: corresponding angles are congruent
Which of the following is the symbolic representation of the statement,
If two lines are not parallel, then corresponding angles are not congruent.

Back

∼p→∼q

Front

If x is a rational number, then x² = 64. Options: ∼p→∼q, ∼p→q, p→∼q, ∼q→∼p

Back

∼q→∼p

Front

Let s represent “eat your vegetables,” let r represent “eat your dessert,” and t represent “you can go to the party.” Which statement represents ∼r→t?

Back

If you do not eat your dessert, then you can go to the party.

Front

Write "If it is not raining then the sidewalks are not wet" in symbolic form.

Back

∼r→∼s