Question: Create negative statements of the following clauses and consider their D, S a) A: & quot; The square of all real numbers is a non-negative number & quot; b) B: & quot; $ \exists x \in R, x ^ {2} + 1 = 0 & quot; $ c) C: & quot; $ \forall k \in Z, k (k + 1) (k + 2) \vdots 3 $ & quot; Answer a) $ \overline {A}: $ "The square of all real numbers is a negative … [Read more...] about Create negative statements of the following clauses and consider their D, S a) A: & quot; The square of all real numbers is a non-negative number & quot; b) B: & quot; $ \exists x \in R, x ^ {2} + 1 = 0 & quot; $ c) C: & quot; $ \forall k \in Z, k (k + 1) (k + 2) \vdots 3 $ & quot;

## In a flat geometry, a set of points E is called convex, if for each pair of points $ M, N \in E $, the segment MN is contained in Ea) Prove that the intersection of the two convex sets is a convex set. b) Is the union of two convex sets a convex set?

Question: In a flat geometry, a set of points E is called convex, if for each pair of points $ M, N \in E $, the segment MN is contained in Ea) Prove that the intersection of the two convex sets is a convex set. b) Is the union of two convex sets a convex set? Answer a) Assume F, G are convex sets and $ F \cap G \neq \varnothing $ Consider the points $ M, N (M \neq N) … [Read more...] about In a flat geometry, a set of points E is called convex, if for each pair of points $ M, N \in E $, the segment MN is contained in Ea) Prove that the intersection of the two convex sets is a convex set. b) Is the union of two convex sets a convex set?

## A $ 50 $ summer camp student is offered two sports: badminton and table tennis. There is $ 30 $ you register to play badminton, $ 28 $ you register to play table tennis and $ 10 $ you don’t register to play any game. How many friends are there: a) Register to play both subjects? B) Only register to play one subject?

Question: A $ 50 $ summer camp student is offered two sports: badminton and table tennis. There is $ 30 $ you register to play badminton, $ 28 $ you register to play table tennis and $ 10 $ you don't register to play any game. How many friends are there: a) Register to play both subjects? B) Only register to play one subject? Answer The symbol $ X $ is the collection of … [Read more...] about A $ 50 $ summer camp student is offered two sports: badminton and table tennis. There is $ 30 $ you register to play badminton, $ 28 $ you register to play table tennis and $ 10 $ you don’t register to play any game. How many friends are there: a) Register to play both subjects? B) Only register to play one subject?

## Write the set $ C_Q $ ($ Z $) in terms of specifying properties for its elements.

Question: Write the set $ C_Q $ ($ Z $) in terms of specifying properties for its elements. Answer $ C _ {\mathbb {Q}} $ ($ \mathbb {Z} $) = {$ \frac {m} {n} | m, n \in \mathbb {Z}, n \neq 0 $ and $ m \neq n $}. … [Read more...] about Write the set $ C_Q $ ($ Z $) in terms of specifying properties for its elements.

## Create a negative clause of $ & # 039; & # 039; exists x \in R, 5x – 2x ^ 2 = 1 & # 039; & # 039; $.

Question: Create a negative clause of $ & # 039; & # 039; exists x \in R, 5x - 2x ^ 2 = 1 & # 039; & # 039; $. Answer $ \forall x \in \mathbb {R}, 5x - 2x ^ 2 \neq 1 $. … [Read more...] about Create a negative clause of $ & # 039; & # 039; exists x \in R, 5x – 2x ^ 2 = 1 & # 039; & # 039; $.