Let X: [0,1] being in all real numbers be given by X(x) = max{x-0.5,0}. Find the inverse images of all intervals [a,b] Due to lack of examples related to the theory, I am unable to properly...

Let X: [0,1] being in all real numbers be given by X(x) = max{x-0.5,0}. Find the inverse images of all intervals [a,b] Due to lack of examples related to the theory, I am unable to properly...

Is there any way to prove that - Every point in A intersect B is greater than or equal to 1? - The intersection of two sets has a point in common with another...

Let X : [0,1] → R. Find inverse images of all intervals [a,b] for X(x) = 2 *1[0,½) (x) + 3 * 1[½,1] (x) Can someone please provide a solution to this

Convert it into roster form.

Define two functions c(x) = max{x - a,0}, p(x) = max{a-x,0}. Prove that c(x) - p(x) = x - a

if not then how this set ans write because question is write in this way {1,3,3,3,5,5,5,5},{5,3,1}

Are the above sets equal?Explain why? EXPLain why as well if they are not equal.

Let N^N(Nautral Numbers)={f:f|N->N}. a. Give two elements of N^N b. Prove that Aleph Zero <|N^N|

P U M n M P U M - N P U M N U M P n M

Let S={n∈N | n=5a+9b for some a∈N and b∈N} list all the elements of the set N-S

Consumer Surveys. In a survey of 180 customers conducted in a shopping mall, 100 customers indicated that they buy Apples, 125 customers indicated that they buy Bananas, and 64 indicated that...

for example if A = {a,b,c} then all possible subsets are {a}, {b}, {c}, {a,b}, {a,c}, {b,c},{a,b,c} and combinations of subsets which cover the original set are: {{a},{b,c}} and {{a},{b},{c}} and...

A survey of 100 school children was taken to determine how they liked their ice cream. It was found that: 55 like vanilla,90 liked at least one of the flavors 50 do not like chocolate,35 liked...

I know and understand what natural numbers are, but what does it mean when the natural number symbol has a + at the top, in the position the squared number would be. Can't seem to find information...

Let A, B and C be different sets containing letters of the alphabet. Explain why there must exist some letter that is either contained in exactly one of the sets or contained in exactly two...

1. How many students don't like either? 2. ~hamburgers=

87 read Journal, 74 read Business, 88 read Times, 56 read Journal and Business, 55 read Business and Times, 67 read Journal and Times, 42 read all 3. 1. How many read only the Wall Street Journal...

how do i solve this

Hi I have 2 problems that I need to say whether or not they are true or not and then write a proof for my answer. I am really struggling and could use a little help thank you 1) ...

Given q∈C where C⊂R^n. In addition, given two subsets M1,M2⊂C such that q∈M1, q∈M2 and μ(M1)=μ(M2)=(1/2)μ(C) where μ(S) is the volume of S⊂C. I can easily prove that μ(M1∪M2)<μ(C) with...