State whether ordered pair of numbers is a solution of the sentence:
3y> 2x+1; (4,3)

3y > 2x + 1

You have asked us to check out the point where  x=4  and  y=3 .
All we need to do is to plug those numbers in place of 'x' and 'y',
and see whether the resulting statement is true:

3y > 2x + 1

3(3) > 2(4) + 1

On the left side, 3(3) is the same as 9.
On the right side, 2(4) + 1 is the same as (8 + 1) and that's 9 .

So the statement says:    9  >  9 ,  and that's not true.
9 is equal to 9, it is not greater than 9 .

So this point is not a solution of the inequality.

It's not.