Step-by-step explanation:
the max. value is when the smaller set (A) is completely contained in the larger set (B).
then n(A n B) is n(A) = 50.
the set intersection between A and B cannot get bigger than that. or A gets bigger ...
after all, the intersection means it is a set of all elements that exist in BOTH sets.
but then there must be other elements besides A and B in the universal set too, because n(universal set) = 96, and n(A u B) would be only 60.
the min. value could be the empty set or 0. but because n(universal set) = 96, and n(A) + n(B) = 110 and larger than 96, it means that there have to be some shared elements. at least 110 - 96 = 14 elements.
in this case there cannot be other elements in the universal set than A and B. and n(universal set) = n(AuB) = 96.
Just remember that something outside the parentheses applies to everything inside.
Examples:
3 times (x + 2) . . . . . means . . . . . 3 times 'x' <u>plus</u> 3 times 2
a (b + c) . . . . . means . . . . . ab <u>plus</u> ac
4 (w + x + y + 2) . . . means . . . 4w + 4x + 4y + 8
When somebody gives you an equation that has parentheses in it,
the first thing you're always supposed to do is get rid of them.
With the examples I just gave you, you know how to do that now.
Answer:
Step-by-step explanation:
A time series graph is one
Answer:
The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. ... All natural numbers, whole numbers, and integers are rationals, but not all rational numbers are natural numbers, whole numbers, or integers.
Step-by-step explanation:
Equation in point slope form is written as:
y = mx + c, where m is the slope of the line and c is the y-intercept
To determine the equation when slope is given and (x,y) coordinates are given, use the below formula:
(y - y₁) = m × (x - x₁) .................. (i)
We have been given that m = 3, x₁ = 2 and y₁ = 1)
Substituting the values of m, x₁ and y₁ in (i)
(y - 1) = 3 × (x-2)
⇒ y - 1 = 3x - 6
⇒ y = 3x - 5
So the required equation is y = 3x -5, here 3 is the slope and -5 is the y-intercept
