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.
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Answer:
-5.04199038
Step-by-step explanation:
(y2-y1)/(x2-x1)
Plus, mthway can double check
Answer:
Y=-3/2
Step-by-step explanation:
-2y+3=-4y
Move constant to the right by adding its opposite to both sides
-2y+3-3=-4y-3
Eliminate the opposites
-2y=-4y-3
collect the like terms
-2y+4y
collect the like terms
(-2+4)y
Calculate the sum
2y=-3
divide both sides of the equation by 2
2y÷2=-3÷2
Any expression divided by itself equal 1
y=-3÷2
y=-3/2
Step-by-step explanation:
f(x)=(x-5)(5x +2)=0
=> x=5 or, x=-2/5
smaller x = -2/5
larger x=5