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kogti [31]
1 year ago
7

Define the set X = {(x,y)|x > 0,y ≤ √x}.

Mathematics
1 answer:
Kitty [74]1 year ago
3 0

The set X is convex.

In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.

b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.

c)set X is not a closed set as the compliment of the set is not an open set.

d)Set X is not bounded. If a set S contains both upper and lower bounds, it is said to be bounded. A set of real numbers is therefore said to be bounded if it fits inside a defined range. hence set x is not bounded.

To learn more about convex sets:

brainly.com/question/12577430

#SPJ9

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Answer:

1/10

Step-by-step explanation:

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3 years ago
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3 years ago
Map of field: 12 in × 15 in
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4 0
3 years ago
HELP PLEASE 80 POINTS
alexgriva [62]

Answer:

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Step-by-step explanation:

<h3>Given</h3>
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<h3>Find</h3>
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<h3>Solution</h3>
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<u>When p = -5, substitute p:</u>

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4 0
3 years ago
Read 2 more answers
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Answer:

He gained 150 pencils

Step-by-step explanation:

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Steps:

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