Question

(iii) {x : 4x - 15 < 29, x € N}​

Answer 1

Answer:

The Answer is between 1.25 and 8.5

In the roster form {2,3,4,5,6,7,8}

Answer 2

{x : 4x - 15 < 29, x ∈ N}​ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}  

Given:

{x : 4x - 15 < 29, x ∈ N}​

To find:

Rewrite the given set by listing all elements

Solution:

Given {x : 4x - 15 < 29, x ∈ N}​

Here x is Natural number and it will satisfy the condition 4x - 15 < 29

Now take x as 0, 1, 2, 3... and check how many numbers will satisfies the given condition

At x = 1 ⇒ 4(1) - 15 = 4 -15 = -11 < 29 and so on

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.

At x = 11 ⇒ 4(11) - 15 = 44 - 15 = 29 < 29  

Therefore, we can conclude that for 0 to 10 as value of x will satisfies the given equation 4x - 15 < 29

Therefore, Required set = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}  

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