Match the terms to their definition.
part a
1. intersection of sets a and b is defined as any elements that are in either set a or set b
2. union of sets a and b is defined as any elements that are in both set a and set b
3. a statement formed by two or more inequalities
4. a member of a set
5. a collection or group of objects indicated by braces, { }
part b
a. compound inequality
b. element
c. set
d. union
e. intersection

a) 3

b) 4

c) 5

d) 1

e) 2

Step-by-step explanation:

Remember the key concepts for each part:

a) Compound inequalities are statements like a<x<b, which are equivalent to a<x and x<b (in this case, two inequalities). They can be formed by more inequalities, for example, 1<2<3<...<20 is a compound inequality formed of 19 inequalities (1<2, 2<3,.., 19<20).

b) Elements are related to sets by the membership relation, denoted by "∈". If A is a set, the statement "x∈A" means "x is a member of A" or "x is an element of A."

c) Sets are described as a collection of objects. These objects are said to belong to the set, that is, they are the elements of the set as in b).

d) If A and B are sets, the union of A and B, denoted by A∪B is the set whose elements are elements of A or elements of B. More formally, A∪B={x:x∈A is true or x∈B is true}. The word "or" used here is not exclusive: if x∈A and x∈B then x∈A∪B.

e) If A and B are sets, the intersection of A and B, denoted by A∩B is the set whose elements belong to A and belong to B. More formally, A∩B={x:x∈A is true and x∈B is true}.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°