-1.35678 is one of infinitely many possible answers.
Yes. In fact, a number line would be full of an uncountably many infinite number of discontinuities (holes) without them and hence would not be a line, so in fact irrational numbers MUST be placed on the number line in order for it to exist.
Two.
Many countries will have regions in which telephone number begin with a given prefix. You have not specified which country.Many countries will have regions in which telephone number begin with a given prefix. You have not specified which country.Many countries will have regions in which telephone number begin with a given prefix. You have not specified which country.Many countries will have regions in which telephone number begin with a given prefix. You have not specified which country.
No. A real number is only one number whereas the set of rational numbers has infinitely many numbers. However, the set of real numbers does contain the set of rational numbers.
Given a line, there are an infinite number of different planes that it lies in.
A line, ray, or line segment contains an infinite number of points.
1
1
There's no limit to the number of them. A more cool and sexy way to say the same thing might be: "An infinite number."
If 2 points determine a line, then a line contains infinitely many planes.
Yes. There can be a line perpendicular to the given line at every point on it, and you know how many different points there are on it ...
There are no planes containing any number of given points. Two points not the same define a line. Three points not in a line define a plane. For four or more points to lie in the same plane, three can be arbitrary but not on the same line, but the fourth (and so on) points must lie in that same plane.
an infinite number; no limit
It's 6
Anything that contains the line must contain every point on the line, so "a point on the line" doesn't give us any more information. You're just asking how many planes can contain the line. Now imagine setting a wood panel down on a tight-rope. How many different ways can it set there before it falls off ? A lot, right ? An infinite number of planes can all contain your line. (And all of its points.)
An infinite number of planes. Picture a line and now picture planes going in every direction through the line,