Question 15 of 33beginner🔧 ApplyShort Answer2 marks

Determine the domain and range of the relation RR defined by R={(x,x+5):x∈{0,1,2,3,4,5}}R = \{(x, x + 5) : x \in \{0, 1, 2, 3, 4, 5\}\}.

Correct Answer

Domain = {0, 1, 2, 3, 4, 5} and Range = {5, 6, 7, 8, 9, 10}

Exercise: EXERCISE 2.2 | Q: 6 | (Page 7)
For More Understanding

Explanation

The question asks to find domain and range of a relation defined in set-builder form. Following the pattern shown in Example 8 of the textbook, we first convert the relation to roster form, then identify the first elements (domain) and second elements (range) of all ordered pairs.

Solution Steps

  1. Step 1: Express R in roster form by substituting each value of x from the set {0, 1, 2, 3, 4, 5}

  2. Step 2: R = {(0, 5), (1, 6), (2, 7), (3, 8), (4, 9), (5, 10)}

  3. Step 3: Domain is the set of all first elements = {0, 1, 2, 3, 4, 5}

  4. Step 4: Range is the set of all second elements = {5, 6, 7, 8, 9, 10}

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