Question

Write the set A = { x | 4x-5< 29, x € N} in the Roster form ?

Answer 1

Answer:

The Roster form of given set is A={2,3,4,5,6,7,8}.

Step-by-step explanation:

The given set is

$A=\{x|4x-5<29,x\in N\}$

x∈N means the value of x belongs to natural numbers.

$N=\{1,2,3,.....\}$

So, the value of x can not be negative.

$0\leq 4x-5<29$

Add 5 on each side.

$5\leq 4x<34$

Divide each side by 5

$\frac{5}{4}\leq x<\frac{34}{4}$

$1.25\leq x<8.5$

So, the value of x are all natural numbers lie between 1.25 and 8.5.

A={2,3,4,5,6,7,8}

Therefore the Roster form of given set is A={2,3,4,5,6,7,8}.