Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 22, 2024

Find the range of the set $A = \{(2,1), (2,3), (-1,4), (1,1)\}$ .

STEP 1

Assumptions
1. The set $A$ is given as $A=\{(2,1),(2,3),(-1,4),(1,1)\}$ .
2. The range of a set of ordered pairs is the set of all second elements in each ordered pair.

STEP 2

Identify the second elements of each ordered pair in set $A$ .
$A=\{(2,1),(2,3),(-1,4),(1,1)\}$

STEP 3

Extract the second elements from each ordered pair to form the range.
$Range = \{1, 3, 4, 1\}$

STEP 4

Remove duplicates from the range, since sets do not contain duplicate elements.
$Range = \{1, 3, 4\}$

STEP 5

Write the range in set notation.
$R = \{1, 3, 4\}$
The range of set $A$ is $\{1, 3, 4\}$ .

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