Given that x, y and b are real numbers and x < y, b < 0, then

If a and b are real numbers such that a > 0 and b < 0, then which of the following is equivalent to |𝑎|−|𝑏| ?

For a,b>0, let

Let a, b ∈ R, and suppose that for every ε > 0, we have a ≤ b + ε. Show that a ≤ b.

“The product of two negative real numbers is not negative.” Is given by ∀x ∀y ((x < 0) ∧ (y < 0) → (xy > 0))∃x ∀y ((x < 0) ∧ (y < 0) → (xy > 0))∀x ∃y ((x < 0) ∧ (y < 0) ∧ (xy > 0))∃x ∃y ((x < 0) ∧ (y < 0) ∧ (xy > 0))Save & Previous

If x < 0 and y = 0, where is the point (x, y) located?