Sets and Venn Diagrams — Unit test Answers

The truth table represents statements p, q, and r. pqr AT T T BT T F CT F T DT F F EF T T FF T F GF F T HF F F

Let p: The day is Tuesday.Let q: The day is Thursday.Let r: She comes to work.Which represents the statement "The day is Tuesday or Thursday if and only if she comes to work”?

Circle B is inside of circle A.

2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The number 4 is outside of the circles.

Consider the following sets.U = {all triangles}E = {x|x ∈ U and x is equilateral}I = {x|x ∈ U and x is isosceles}S = {x|x ∈ U and x is scalene}A = {x|x ∈ U and x is acute}O = {x|x ∈ U and x is obtuse}R = {x|x ∈ U and x is right}Which is a subset of I?

Let p: The whole number has one digit.Let q: The whole number is less than 10.Which represents "The whole number has one digit if and only if the whole number is less than 10”?

Let p: A shape is a triangle.Let q: A shape has four sides.Which is true if the shape is a rectangle?

What is the converse of the statement?Perpendicular lines have negative reciprocal slopes.

Which is logically equivalent to the converse of a conditional statement?

Inductive and deductive reasoning differ in which way?

The converse of a conditional statement is "If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.”What is the inverse of the original conditional statement?

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Which statement can be concluded using the true statements?If a quadrilateral has 4 equal sides and 4 equal angles, then it is a square.If a figure is a square, then each of its angles must measure 90 degrees.

What value is a counterexample for the conditional statement shown?If a number between 0 and 100 is an odd perfect square, then the only factors of the number are 1, the number itself, and the square root of the number.