2 Determine if A B or A not equal to B a A is a plane e

2. Determine if A = B or A not equal to B. a. A = {* | * is a plane equilateral triangle), B = {* | * is a plane equiangular triangle) b. A = {1, 2, 3}, B = {a, b, c} 3. Let A = {1, 2, 3}. Identify the sets B such that {1) B, B A, and B not equal to A. 4. You are told that there is only one set A such that A B. Identify the set B.

Solution

2. a) A={*|* is a plane equilateral triangle} ={set of all equilateral triangles}

B={*|* is a plane equiangular triangle}= {set of all equiangular triangles}

Now we know every equilateral triangle is equiangular.

so, for every euilateral triangle in A there exists the same triangle in B (As the triangle is also equiangular).

So, it means all the triangles which are in set A are also in set B.

Therefore, A=B (Ans).

b) A={1,2,3} , B={a,b,c}

A=B if and only if a=1, b=2, c=3, otherwise A will not be equal to B.