Hello there! Yes, the point does satisfy the inequality.
To solve your question, we need to plug the points into the equation and solve.
4x + 18y > 8; (4, 7) Plug 4 and 7 into your equation.
4(4) + 18(7) > 8 Multiply 4 by 4 and 18 by 7.
16 + 126 > 8 Add the two values.
142 > 8
So, now that we have the simplified equation, think: is 142 greater than 8, like the statement says? Well, 142 IS in fact greater than 8, so it looks like the solution is a valid point in the equality, meaning, yes, the point does in fact satisfy the inequality.
I hope this helps, have a great rest of your day! :)