Homework 3.4: Compound InequalitiesScore: 10.38/1811/18 answeredQuestion 6<>04Give the interval that describes the set of
values shown above.
1 answer:
Give the interval that describes the set of values shown above
The interval marked in blue has the following features:
* Starts with a filled blue dot at x=2
* Ends with a filled blued dot at x=4
* Runs from x=2 to x=4 with a blue line
The filled dots indicate that the endpoints are included in the interval
The line indicates that all the values in between the interval are included in the interval
There are two basic forms to indicate an interval with included endpoints:
* A pair of values (the endpoints) comma-separated included in a pair of brackets:
Interval: [2,4]
* The closed interval indicated by inequalities signs:
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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:
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Answer:
y = 2x+1
Step-by-step explanation: