1 → B
multiply each term in the parenthesis by the 6 outside
6(b-7) = 6b - 42
2 → D
multiply each term in the parenthesis by the 3 outside
3(4x+6y+2) = 12x+18y+6
3 → A
the value outside the parenthesis is -1, hence each term inside is multiplied by -1
-1(6x+5y) = -6x -5y
Answer:
12500
Step-by-step explanation:
Sum is addition.Add the first number to the second one
9260
<u>+</u><u>3240</u>
<u> 12500 </u>
<u />
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Answer:
Option B. is the right choice.
Step-by-step explanation:
Divide the given figure such that the divided parts represent either a rectangle or square.
Take one small box in each divided figure as one unit length.
Answer:
We have to prove,
(A \ B) ∪ ( B \ A ) = (A U B) \ (B ∩ A).
Suppose,
x ∈ (A \ B) ∪ ( B \ A ), where x is an arbitrary,
⇒ x ∈ A \ B or x ∈ B \ A
⇒ x ∈ A and x ∉ B or x ∈ B and x ∉ A
⇒ x ∈ A or x ∈ B and x ∉ B and x ∉ A
⇒ x ∈ A ∪ B and x ∉ B ∩ A
⇒ x ∈ ( A ∪ B ) \ ( B ∩ A )
Conversely,
Suppose,
y ∈ ( A ∪ B ) \ ( B ∩ A ), where, y is an arbitrary.
⇒ y ∈ A ∪ B and x ∉ B ∩ A
⇒ y ∈ A or y ∈ B and y ∉ B or y ∉ A
⇒ y ∈ A and y ∉ B or y ∈ B and y ∉ A
⇒ y ∈ A \ B or y ∈ B \ A
⇒ y ∈ ( A \ B ) ∪ ( B \ A )
Hence, proved......
