Write the negation of each statement:
(a) ∀ ∈ ℝ, ∃ ∈ ℝ such that < 2 .
(b) ∀ ∈ ℚ, ∃ ∈ ℕ such that =
(c) ∀ even integers ∃ an integer such that =
(d) ∃ ∈ ℝ such that for all real numbers + = 0.
(e) ∃ ∈ ℝ such that if < then 2 < 2 .
(f) ∀ > 0, ∃ > 0 such that ∀ ∈ − + | − | < remember this definition from calculus? !

The distance between two cities is 368 miles. if the scale on the map is 1/4 inch=23 miles, what is the distance between the cities on the map?

Girardo is using the model below to solve the equation . girardo uses the following steps: step 1 add 4 negative x-tiles to both sides step 2 add 1 negative unit tile to both sides step 3 the solution is which step could be adjusted so that gerardo's final step results in a positive x-value? in step 1, he should have added 4 positive x-tiles to both sides. in step 1, he should have added 3 negative x-tiles to both sides. in step 2, he should have added 4 negative unit tiles to both sides. in step 2, he should have added 1 positive unit tile to both sides.

The weight v of an object on venus varies directly with its weight e on earth. a person weighing 120 lb on earth would weigh 106 lb on venus. how much would a person weighing 150 lb on earth weigh on venus?