Answer:
(a) false
(b) true
(c) true
(d) true
(e) false
(f) true
(g) false
(h) true
(i) true
Step-by-step explanation:
(a) 15 ⊂ A, since 15 is not a set, but an element, we cannot say of an element to be subset of a set. False
(b) {15} ⊂ A The subset {15} is a subset of A, since every element of {15}, that is 15, belongs to A.
15 ∈ {15} and 15 ∈ { x ∈ Z: x is an integer multiple of 3 } 15 is an integer multiple of 3. since 15/3=5. True
(c)∅ ⊂ A
∅ is a subset of any set. True
(d) A ⊆ A
A is a subset of itself. True
(e)∅ ∈ B
∅ is not an element, it is a subset, so it does not belong to any set. False
(f)A is an infinite set.
Yes, there are infinite integers multiple of 3. True
(g)B is a finite set.
No, there are infinite integers that are perfect squares. False
(h)|E| = 3
The number of elements that belong to E are 3. True
(i)|E| = |F|
The number of elements that belong to F are 3. So is the number of elements of E. True
The correct option will be : B) 6 cm.
<u><em>Explanation</em></u>
Suppose, the width of the rectangle is 
cm.
As, the length is 6 cm longer than the width, so the length will be: 
<u>Formula for the Area of rectangle</u> is: 
Given that, the area of a rectangle is 72 cm²
So....
Using zero-product property, we will get...
<em>(Negative value is ignored as width can't be negative)</em>
and
So, the width of the rectangle is 6 cm.
X - 6y=18
2x-3y=9 |*-2
x -6y=18
-4x+6y=-18
----------------
-3x=0, x=0
2x-3y=9
2*0-3y=9
-3y=9, y=-9/3, y= -3
Answer:
$32.75 each ticket
Step-by-step explanation:
131 / 4 = $32.75 each ticket
<span>A) x+y+z=23
B) y+z=14
C) z=9
Since z = 9 then
A) x + y = 14
B) y = 5
A) </span><span><span>x + y+ z=23</span>
A) x + 5 + 9 = 23
A) x = 9
</span>
