Which of the following has no solution?
(x + 1 < -1) ∩ (x + 1 < 1)
(x + 1 ≤ 1) ∩ (x + 1 ≥ 1)
(x + 1 < 1) ∩ (x + 1 > 1)

  (x + 1 < 1) ∩ (x + 1 > 1)

Step-by-step explanation:

By subtracting 1 from both sides of each of the inequalities, the sets of inequalities resolve to ...

1. x < -2 ∩ x < 0 . . . . solution: x < -2

2. x ≤ 0 ∩ x ≥ 0 . . . . solution: x = 0

3. x < 0 ∩ x > 0 . . . . no solution

The third set of inequalities has no solution.

bottom left

step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

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80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

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