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How does a Venn diagram show that all integers and all whole numbers are rational?
For example, 0 is an integer and whole number that is rational
Is there a rational number between any two irrational numbers?
Yes. To find it, evaluate both irrationals until the numbers show a difference in one of their later digits. Truncate the irrationals after this digit, sum them, then divide by 2. Job done.
Is the product of three irrational numbers always an irrational number?
No. The easiest counter-example to show that the product of two irrational numbers can be a rational number is that the product of √2 and √2 is 2. Likewise, the cube root of 2 is also an irrational number, but the product of 3√2, 3√2 and 3√2 is 2.
What is the purepose of an overlapped section on a venn diagram?
To show common numbers between the sets.
What are three methods to prove that two lines are parallel?
In analytical geometry (geometry with numbers for coordinates), the easiest method is to show that they have the same slope.You could also prove that the distance between the lines, at different parts, is the same (draw a perpendicular to one of the lines).In analytical geometry (geometry with numbers for coordinates), the easiest method is to show that they have the same slope.You could also prove that the distance between the lines, at different parts, is the same (draw a perpendicular to one of the lines).In analytical geometry (geometry with numbers for coordinates), the easiest method is to show that they have the same slope.You could also prove that the distance between the lines, at different parts, is the same (draw a perpendicular to one of the lines).In analytical geometry (geometry with numbers for coordinates), the easiest method is to show that they have the same slope.You could also prove that the distance between the lines, at different parts, is the same (draw a perpendicular to one of the lines).
