Is ∀ x, ∃ y, 3x^2−2y=5 true or false?

Answer 1

True, for every value of x there exists a y value

2y = 3x^2-5

y = 3x^2/2 - 5/2

It's a parabola with vertex or minimum point (0,-5/2) domain is any real number, range is y> -5/2