Question 16 of 33beginner🔧 ApplyShort Answer2 marks

Write the relation R={(x,x3):x is a prime number less than 10}R = \{(x, x^3) : x \text{ is a prime number less than } 10\} in roster form.

Correct Answer

R = {(2, 8), (3, 27), (5, 125), (7, 343)}

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

Explanation

To write the relation in roster form, we need to identify all prime numbers less than 10 and then compute x³ for each. The prime numbers less than 10 are 2, 3, 5, and 7. For each prime number x, we form the ordered pair (x, x³). This gives us the four ordered pairs that constitute the relation in roster form.

Solution Steps

  1. Step 1: Identify prime numbers less than 10: 2, 3, 5, 7

  2. Step 2: Calculate x³ for each prime: 2³ = 8, 3³ = 27, 5³ = 125, 7³ = 343

  3. Step 3: Form ordered pairs (x, x³) for each prime number

  4. Step 4: Write in roster form: R = {(2, 8), (3, 27), (5, 125), (7, 343)}

PreviousNext