Question

Find the pairs of equal sets, if any, give reasons:

A = {0}, B = {x : x > 15 and x < 5},

C = {x : x – 5 = 0 }, D = {x: x

2 = 25},

E = {x : x is an integral positive root of the equation x

2

– 2x –15 = 0}


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Answer 1

Hey mate here's your answer!!

A={0}

B={0} as no such element s.t x>15 and x<5

C={5} x:x−5=0

D={−5,5} x

2

−25⟹x=−5,5

E={−3,5}

Roots of the equation x

2

−2x−15=0

⟹(x−5)(x+3)=0

⟹x=−3,5

So the pair of equal sets are A and B.

Hope it helps you!

Answer 2

Answer:

Depletion is an accounting and tax concept used most often in the mining, timber, and petroleum industries. It is similar to depreciation in that it is a cost recovery system for accounting and tax reporting: "The depletion deduction" allows an owner or operator to account for the reduction of a product's reserves.