Question

If A = {x R : |x| < 2 } and B = { x R : |x-2| ≥ 3} ; then how is B - A = R -(-2,5) true?

Answer 1

Answer:

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Step-by-step explanation:

We have,

A=R−{2} and B=R−{1}.If A→B is mapping defined.

f(x)=

x−2

x−1

Let x,y∈A such that

f(x)=f(y)

Now,

x−2

x−1

=

y−2

y−1

⇒(x−2)(y−3)=(y−2)(x−3)

⇒xy−3x−2y+6=xy−3y−2x+6

⇒−3x−2y=−3y−2x

⇒3x−2x=3y−2y

⇒x=y

Hence, f is one one

Answer 2

Answer:

1) 2,5 octadiene

2) pent 1-ene 4-yne

3)2 ethyl 7 methyl octane

4) 3 ethyl 6 methyl octane

5) 3,3,5,5 tetra methyl octane

6) 3 propyl hexane

7) 1,6 heptadiene

8) 2,2 dimethyl propane