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No. Say for example interval A is (-inf, 0), and interval B is (0, inf). Even though they are both infinite, their intersection is the empty set (i.e. they have nothing in common). The same applies to sets. That being said, it is entirely possible for two infinite intervals' intersection to be infinite. All that is required is that one is a subset of the other (one set contains all of the other set, for example A = (0, inf) and B = (1, inf). Here, A contains all of B, and therefore, their intersection is B. This means that their intersection is infinite.)
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Can a line be formed by the intersection of two planes?
ONLY a line can be formed by the intersection of two planes...and always.
Is a line is defined to be the intersection of two planes?
A line is infinite but a line segment has end points and a midpoint
Do the intersection of two sets always contains a smaller number of terms than the union of two sets?
No, because the intersection of two equivalent sets will have a union the same size as its intersection.
Is The intersection of two nonempty sets is always nonempty?
Not necessarily. The odd integers and the even integers are two infinitely large sets. But their intersection is the null (empty) set.
Two planes always intersect in what geometric figure?
The intersection of two planes is one straight line.
Is the intersection of two infinite sets always an infinite set?
No. It can be infinite, finite or null. The set of odd integers is infinite, the set of even integers is infinite. Their intersection is void, or the null set.
Can a line be formed by the intersection of two planes?
ONLY a line can be formed by the intersection of two planes...and always.
Is intersection of two countably infinite sets can be finite?
Easily. Indeed, it might be empty. Consider the set of positive odd numbers, and the set of positive even numbers. Both are countably infinite, but their intersection is the empty set. For a non-empty intersection, consider the set of positive odd numbers, and 2, and the set of positive even numbers. Both are still countably infinite, but their intersection is {2}.
Is a line is defined to be the intersection of two planes?
A line is infinite but a line segment has end points and a midpoint
Does intersection of 2 planes always contain at least 2 points?
YES. The intersection of two planes always makes a line. A line is at least two points.
Do the intersection of two sets always contains a smaller number of terms than the union of two sets?
No, because the intersection of two equivalent sets will have a union the same size as its intersection.
Is the intersection of a line a point?
The intersection of two lines is always a point or the line itself. The intersection of a line with plane also the same as above.
How do you use the word intersected in a sentence?
I had to cross a busy intersection on my walk to school. A line can be considered as the intersection of two separate infinite planes.
Do odd numbered intervals always appear on the staff as mixed between the lines and spaces?
No. Odd numbered intervals always appear on the staff as two line notes OR two space notes, not mixed.
Is The intersection of two nonempty sets is always nonempty?
Not necessarily. The odd integers and the even integers are two infinitely large sets. But their intersection is the null (empty) set.
Which figure could be the intersection of two planes a line a ray a point or segment?
A line or a ray - depending on whether the planes are finite or infinite.
Two planes always intersect in what geometric figure?
The intersection of two planes is one straight line.
