Question 16 of 35beginner🔧 ApplyVery Short1 mark

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 first identify all prime numbers less than 10, which are 2, 3, 5, and 7. Then for each prime number x, we calculate x³ to form the ordered pairs (x, x³).

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: Write the ordered pairs: (2, 8), (3, 27), (5, 125), (7, 343)

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

PreviousNext