Question

A) given a = { x ∈
∶
<
}, b = { x ∈
: 2x − 5 ≤ 1} and c = {2, 3, 6} show that: i) a – (b ∪
) = (a – b) ∩
(
−
) ii) a ∪ (b ∩
) = (a∪b) ∩
(
∪
)

Answer 1

Step-by-step explanation:

ANSWER

A={xϵz:2

(x+2)(x

2

−5x+6)

=1}

2

(x+2)(x

2

−5x+6)

=2

0

⇒x=−2,2,3

A={−2,2,3}

B={xϵZ:−3<2x−1<9}

B={0,1,2,3,4}

A × B has is 15 elements so number of subsets of A × B is 2

15

.

Answer 2

Step-by-step explanation:

A) given a = { x ∈

∶

<

}, b = { x ∈

: 2x − 5 ≤ 1} and c = {2, 3, 6} show that: i) a – (b ∪

) = (a – b) ∩

(

−

) ii) a ∪ (b ∩

) = (a∪b) ∩

(

∪

)