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Black_prince [1.1K]
2 years ago
7

Square root 2x + 3 equals X

Mathematics
1 answer:
sineoko [7]2 years ago
6 0
3 (had to feel the space with words)
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Okay first you need to do distribute the -3 to remove the parentheses:

y - 4 = -3x + 9

Then you need to move -4 to the right by adding on both sides

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7 0
3 years ago
If AA and BB are countable sets, then so is A∪BA∪B.
Lostsunrise [7]

Answer with Step-by-step explanation:

We are given that A and B are two countable sets

We have to show that if A and B are countable then A\cup B is countable.

Countable means finite set or countably infinite.

Case 1: If A and B are two finite sets

Suppose A={1} and B={2}

A\cup B={1,2}=Finite=Countable

Hence, A\cup B is countable.

Case 2: If A finite and B is countably infinite

Suppose, A={1,2,3}

B=N={1,2,3,...}

Then, A\cup B={1,2,3,....}=N

Hence,A\cup B is countable.

Case 3:If A is countably infinite and B is finite set.

Suppose , A=Z={..,-2,-1,0,1,2,....}

B={-2,-3}

A\cup B=Z=Countable

Hence, A\cup B countable.

Case 4:If A and B are both countably infinite sets.

Suppose A=N and B=Z

Then,A\cup B=N\cup Z=Z

Hence,A\cup B is countable.

Therefore, if A and B are countable sets, then A\cup B is also countable.

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