Homework Section 1C: Venn Diagrams

Draw a Venn diagram with two circles showing the given relationship between two sets. wrenches and tools (Let A equal wrenches and B equal tools)

(a) A is Inside of B

For the categorical proposition​ below, complete parts a through d. Some surgeons are Australian. Can you conclude that there are European surgeons​? a. If​ necessary, rephrase the statement in standard form. Does the categorical proposition need to be​ rephrased?

(a) No, the proposition is in standard form. (b) The set surgeons is S because it is the subject of the sentence. (b) The set Australian is P because it is the predicate of the sentence. (c) Overlapping Venn Diagram (d) No, because no information was given about European surgeons

Use the two sets below to answer parts​ (a) and​ (b). bankers and women

(a) Overlapping Venn Diagram (b) The diagram correctly shows the two circles overlap because some women are bankers.

For the categorical proposition​ below, complete parts​ (a) through​ (d). Some physical therapists go fishing. Can you conclude that some fishermen are not physical therapists​? a. If​ necessary, rephrase the statement in standard form. Does the categorical proposition need to be​ rephrased?

(a) Yes, it should be rephrased as "Some physical therapists are fishermen." (b) The set physical therapists is S because it is the subject of the sentence. (b) The set fishermen is P because it is the predicate of the sentence. (c) Overlapping Venn Diagram (d) No, because S could also contain​ P, that​ is, the two sets could be identical

Draw a Venn diagram with two circles showing the given relationship between two sets. integers and negative

(a) overlapping

Use the two sets below to answer parts​ (a) and​ (b). fire fighters and athletes

(a) overlapping Venn Diagram (B) The diagram correctly shows the two circles overlap because some athletes are fire fighters.

Use the two sets below to answer parts​ (a) and​ (b). vertinarians and women

(a) overlapping Venn Diagram (b) the diagram correctly shows the two circles overlap b/c some women are veterinarians.

Consider the sets of natural​ numbers, whole​ numbers, integers, rational​ numbers, and real numbers. Identify from the list above the first set that describes the given number. -15.8674

Rational Number

Consider the sets of natural​ numbers, whole​ numbers, integers, rational​ numbers, and real numbers. Identify from the list above the first set that describes the given number. -4/3

Rational Number

Consider the sets of natural​ numbers, whole​ numbers, integers, rational​ numbers, and real numbers. Identify from the list above the first set that describes the given number. 4.8738

Rational Number

Choose the first set in the list natural​ numbers, whole​ numbers, integers, rational​ numbers, and real numbers that contains the following number. π/16

Real Number

Choose the first set in the list of natural​ numbers, whole​ numbers, integers, rational​ numbers, and real numbers that describes the following number. π/111

Real Number

Consider the sets of natural​ numbers, whole​ numbers, integers, rational​ numbers, and real numbers. Identify from the list above the first set that describes the given number. 8π

Real Number

Consider the sets of natural​ numbers, whole​ numbers, integers, rational​ numbers, and real numbers. Identify the first set in the list that describes the given number. √24 (squared root)

Real Number

Consider the sets of natural​ numbers, whole​ numbers, integers, rational​ numbers, and real numbers. Identify the first set in the list that describes the given number. √48 (squared root)

Real Number

Draw a Venn diagram with three overlapping circles​ (eight regions) for the following groups of three sets. Describe the members of each​ region, or state that a region has no members. women​, nurses​, and veterinarians

Venn Diagram B.

Draw a Venn diagram with three overlapping circles​ (eight regions) for the following group of three sets. Describe the members of each​ region, or state that a region has no members. words that begin with y​, nouns​, and words with fewer than 4 letters

Venn Diagram C.

Draw a Venn diagram with three overlapping circles​ (eight regions) for the following groups of three sets. Describe the members of each​ region, or state that a region has no members. commissioned art​, paintings​, and sculptures

Venn Diagram D.