Under what operations are the set of integers closed? explain your answer. update answer is -the set of integers is closed under addition, subtraction, and multiplication. -the set of integers is not closed under division. -give a counterexample to show that the integers are not closed under division. for example, 1 divided by 3 is not an integer.

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Step-by-step explanation:

Closed under addition, subtraction and multiplication

Not closed under division :-

for example  3/4 = 0.75 which is not an integer

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

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step-by-step explanation:

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