Answer:
If A ⊆ B, then A ⊂ B.
If A = B, then A ⊆ B.
If A = B, then A ⊂ B.
Step-by-step explanation:
In set theory '⊂' is the symbol of proper subset and '⊆' is the symbol of subset of a set.
In option (a),
If A ⊆ B
⇒ A ⊂ B or A = B
Thus, If A ⊆ B, then A ⊂ B.
Option a is true.
(b) If A ⊂ B
⇒ A is the subset of B
That is, all elements of A are also the element of B,
But we can not say A = B
Thus, option b is not true.
(c) If A = B
⇒ A ⊂ B and A ⊃ B or A ⊆ B and B ⊆ A ( Because every set is the subset of itself )
⇒ A ⊆ B.
Option c is true.
(d) If A = B,
⇒ A ⊂ B
Option d is true.
(e) If A ⊂ B,
Then we can not say that,
A = B or A ≠ B
Thus, option e is not correct.
Answer:
88 ft^3
Step-by-step explanation:
First find the volume of the rectangular prism on the left
V = l*w*h = 2*(4)*8 = 2*4*8= 64 ft^3
Then find the volume of the rectangular prism on the bottom
The base is not 5 but 5-2 since we used 2 on the left side
V = l*w*h = (5-2) *4*2 = 3*4*2 = 24 ft^3
Add them together
64+24=88
Y2-y1 -5-(-8) 3
____ = _____ = ___ = -3/7
x2-x1 2-9 -7
The simplified product of 
and -3
is -30
.
Given Two expressions: -3 and 2
.
We have to multiply both the expressions and it can be done as under:
-3 *2
Firstly we have to multiply -3 with 2 to get
=-6
Then we have to find square root of x cube and x square which is x to the power 3/2 and x to the power 1.
=
Now we have to multiply both the numbers in the root to get the answer;
=-6
Square root of 50 is 5 root 2.
=-6*5
=-30
Hence the simplified product is -30.
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