Question

Assignment -2

1. A={XEW/x<2} B={XEN/1≤x≤4} <= {3,5} Verify that Ax(BAC) = (AXB) n(AXC)

2. Determine the general team of an AP whose 4th team is -1 and 16th team is 17

3. find the Square root of the following sequence (ba tat (32 t2-) (2x +32+)

4.find the square root 9x² - 24 xy +30x2-40yz +

25=² +164² of 64x4 - 16x² +17x²-2x+1 5. find the Square root​

Answer 1

Step-by-step explanation:

(i) False

Let A={1,2} and B={1,{1,2},{3}}

2∈{1,2} and {1,2}∈{{3},1,{1,2}}

Now,

∴A∈B

However, 2∈{{3},1,{1,2}}

(ii) False.

As A⊂B, B∈C

Let A={2},B={0,2}, and C={1,{0,2},3}

However, A∈C

(iii) True

Let A⊂B and B⊂C.

Let x∈A

⇒x∈B        [∵A⊂B]

⇒x∈C        [∵B⊂C]

∴A⊂C

(iv) False

As, A⊂B and B⊂C

Let A={1,2},B={0,6,8}, and C={0,1,2,6,9}

However, A⊂C

(v) False

Let A={3,5,7} and B={3,4,6}

Now, 5∈A and A⊂B

However, 5∈B

(vi) True

Let A⊂