Chapter 1: Q4. (page 70)

What is the domain of the following relation?
$\{(1, 3), (- 6, 4), (8, 5)\}$
F $\{3, 4, 5\}$
G $\{- 6, 1, 8\}$
H $\{- 6, 1, 3, 4, 5, 8\}$
I $\{1, 3, 4, 5, 8\}$

Short Answer

Expert verified

The domain of the given relation is $\{1, - 6, 8\}$

Step by step solution

Step 1. Given information.

The relation $\{(1, 3), (- 6, 4), (8, 5)\}$

To find The domain of the given relation.

Step 2. Apply the concept.

We know that if relation $(x, y)$ then $x$ is called domain and $y$ is called range.

Here, we collect all values of the first position of the given relation.

As relation $\{(x_{1}, y_{1}), (x_{2}, y_{2}), (x_{3}, y_{3})\}$ The domain of the above relation is $\{x_{1}, x_{2}, x_{3}\}$ .

Step 3. Calculation.

The domain set of the given relation is the first position of each ordered pair.

Such that $\{1, - 6, 8\}$

Hence, the correct option is (G).

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What is the domain of the following relation?
$\{(1, 3), (- 6, 4), (8, 5)\}$
F $\{3, 4, 5\}$
G $\{- 6, 1, 8\}$
H $\{- 6, 1, 3, 4, 5, 8\}$
I $\{1, 3, 4, 5, 8\}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Apply the concept.

Step 3. Calculation.

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What is the domain of the following relation?(1,3),(-6,4),(8,5)F 3,4,5G -6,1,8H -6,1,3,4,5,8I1,3,4,5,8

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Apply the concept.

Step 3. Calculation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Theoretical and Mathematical Physics

Calculus

Statistics

Mechanics Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

What is the domain of the following relation?
$\{(1, 3), (- 6, 4), (8, 5)\}$
F $\{3, 4, 5\}$
G $\{- 6, 1, 8\}$
H $\{- 6, 1, 3, 4, 5, 8\}$
I $\{1, 3, 4, 5, 8\}$