## Problem 1015

Find the cardinal number for the following set A. {x | x is a letter in the words isogram}   Solution:-   The number of distinct, or different, element in…

## Problem 1014

Write a description of the set. {Africa, Antarctica, Asia, Australia}   Solution:-   To given a description of a set is to classify all of the elements, or members, of…

## Problem 1013

Determine if the collection is not well define and therefore is not a set.   Solution:-   A set is a collection of object whose contents  can be clearly determined.…

## Problem 1012

Find the reference angle for the following angle. -142°   Solution:-   A reference angle for the angle θ is the positive acute angle made by the terminal side of…

## Problem 1011

Find a solution for the equation. Assume that all angles in which an unknown appears are acute angles. cos (2α+30°) = sin(3α – 60°)   Solution:-   Since cos θ…

## Problem 1010

Rewrite cot (81°) in terms of its co function.   Solution:-   Each trigonometric function has a co-function. The sine’s co-function is the cosine, the tangent’s co-function is the cotangent…

## Problem 1009

Let p, q, and r represent the following simple statements: p: I lie on the sofa. q: I take a nap. r: I go jogging. Write the following compound statement…

## Problem 1008

Let p and q represent the following simple statements: p :  A basketball is round. q :  A hockey stick is round.   Write the following compound statement in its…

## Problem 1007

a)     Express the quantified statement in an equivalent way, that is, in a way that has exactly the same meaning. b)    Write the negation of the quantified statement .(The negation…

## Problem 1006

The statement listed below is false. Let p represent the statement. p: Goldfish are small pets. Express the symbolic statement  ̴p in words. What can be concluded about the resulting…