Pre-test in Math Mjr. 3218

Two sets X and Y have the same cardinality if there exists a one-to-one function mapping X onto Y

• True

• False

• Partly True

• Partly False

:

• Yes

• No

:

• True

• False

• Partly True

• Partly False

:

• True

• False

• Partly True

• Partly False

List the elements in {a,b,c} x {1,2,c}

• {(a,1), (b,2), (c,c)}

• {(1,a), (2,b), (c,c)}

• {(a,1), (a,2), (a,c), (b,1), (b,2), (b,c), (c,1), (c,2), (c,c)}

• {(1,a), (2,a), (c,a), (1,b,), (2,b), (c,b), (1,c), (2,c), (c,c)}

A binary operation is always commutative.

• True

• False

• Partly True

• Partly False

There are cases when the binary operation is not associative.

• True

• False

• Partly True

• Partly False

Determine whether the binary operation defined is commutative and whether is associative:

• commutative, associative

• not commutative, associative

• commutative, not associative

• not commutative, not associative

Determine whether the binary operation defined is commutative and whether is associative:

• commutative, associative

• not commutative, associative

• commutative, not associative

• not commutative, not associative

Determine whether the binary operation defined is commutative and whether is associative:

• commutative, associative

• not commutative, associative

• commutative, not associative

• not commutative, not associative