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:
See below
Step-by-step explanation:
13) Domain: x -> {-3,-2,-1,0,1,2}, Range: f(x) -> {5}
14) Notice how x can't be -4 as that will make the denominator 0. Therefore, your domain is (-∞,-4)U(-4,∞) and your range is [0,∞) since 0 is the lowest possible real y-value that satisfies the equation (recall that if y<0, you are unable to find the real square root of a real number)
Answer:
No they are equal
Step-by-step explanation:
No. 16.454 has an extra number at the end. If the 4 at the end of 16.454 was a 0 then it wouldn't matter and they would be equal.
Answer:
324352
Step-by-step explanation:
