consider the following sets.\nu = {all triangles}\ne = {x|x ∈ u and x is equilateral}\ni = {x|x ∈ u and x is…
consider the following sets.\nu = {all triangles}\ne = {x|x ∈ u and x is equilateral}\ni = {x|x ∈ u and x is isosceles}\ns = {x|x ∈ u and x is scalene}\na = {x|x ∈ u and x is acute}\no = {x|x ∈ u and x is obtuse}\nr = {x|x ∈ u and x is right}\nwhich is a subset of i?\no e\no s\no a\no r
Answer
Explanation:
Step1: Recall definitions
An equilateral triangle has three equal - sides. An isosceles triangle has at least two equal - sides. Since an equilateral triangle satisfies the condition of an isosceles triangle (it has at least two equal sides), every equilateral triangle is an isosceles triangle.
Step2: Analyze subsets
If every element of set $E$ (equilateral triangles) is also an element of set $I$ (isosceles triangles), then $E\subseteq I$. A scalene triangle has no equal sides, so $S$ is not a subset of $I$. Acute, obtuse, and right - angled triangles can be isosceles, but not all of them are, and they also include non - isosceles cases, so $A$, $O$, and $R$ are not subsets of $I$.
Answer:
E