Question

write in roster form :- A = {x : 3x - 2 <_ 10, x £ N}

Answer 1

Before writing it in the rooster form, Let us find out what values can come,

Given that,
3x - 2 <_ 10 ( It means less than or equal to ),

Now add 2 on both sides,
=> 3x <_ 12, Divide 3 on both sides now !

=> x <_ 4 , So x can be any of the number , But the max value is 4,

As the question says x belongs to Natural numbers , The only possible values are 1,2,3,4 , That's it,

Now , We can write the rooster from, As we have all the possible values of x,

=> A = {1,2,3,4}

Here it is the rooster form ☝!

Hope you understand, Have a great day !
Thanking you , Bunti 360 !