Notes and Worksheet on Sets

# Notes and Worksheet on Sets - Math 100 Talking about sets 1...

This preview shows pages 1–2. Sign up to view the full content.

Math 100 Talking about sets Martin H. Weissman 1. Examples of sentences about sets Let S = { 2 , 5 , { 2 } , { 3 , 4 }} . The following are true sentences about S , involving the phrase “is an element of”: (1) 2 is an element of S . Symbolically, 2 S . (2) 5 is an element of S . Symbolically, 5 S . (3) { 2 } is an element of S . Symbolically, { 2 } ∈ S . (4) { 3 , 4 } is an element of S . Symbolically, { 3 , 4 } ∈ S . (5) 3 is not an element of S . Symbolically, 3 6∈ S . (6) { 2 , 5 } is not an element of S . Symbolically, { 2 , 5 } 6∈ S . The following are true sentences, involving counting elements of S . (1) There are four elements of S . Symbolically, # S = 4. (2) There are two elements of S , which are numbers. There is not a nice way of saying this symbolically. (3) There is one element of S , which is an even number. There is not a nice way of saying this symboli- cally. The following are true sentences, involving the phrase “is a subset of”: (1) The empty set is a subset of S . Symbolically, ∅ ⊂ S . (2)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

Notes and Worksheet on Sets - Math 100 Talking about sets 1...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online