Manipulating inequalities

Maths

Given that x > y, is the following inequality always, sometimes or never true? x + 2 > y + 2

Given that x > y, is the following inequality always, sometimes or never true? y > x + 5

Given that x > y, is the following inequality always, sometimes or never true? 2x > y + 4

I'm thinking of a number (call it x). If I multiply it by 3 then add 4 to it, what expression do I get?

I'm thinking of a number (call it x). If I multiply it by 3 then add 4 to it, my answer is less than 19. What range of values can my number take?

I'm thinking of a number, I subtract 4 from it and then divide it by 6. My number is greater than 2. What range of values can my number take?