Answer:
x<3
where x does not exist
(-infinity, 3)
Where x exists
[3, infinity]
Step-by-step explanation:
I'm just going to answer the first one.
Treat it like your solving for x, however the only difference is that it's an inequality.
3x-2 <7
3x< 7+2
3x/3x < 9/3
x<3
Now we know where x does and does not exist.
I'm assuming your teacher wants that, (-infinity, 3) (this is where it does not exist)
[3, infinity]
In case you were wondering square brackets is where it exists and curled is where it doesn't.
Answer: 
Step-by-step explanation:
Given : The total number of cards in a deck = 52
Number of red cards = 26
There are two types of red cards : diamond and heart.
Number of diamond cards = 13
The probability that the first card is a diamond :-

Since diamond is also a red card.
Now, the total cards left = 51
The number of red cards left = 12
The probability that the second card is a red card (without repetition) is given by :-

Now, the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a diamond :-

Answer:
It would be "a sentence that includes two independent clauses connected by a conjunction" which is Choice B.
Choice A wouldn't work as there needs to be two or more independent clauses for it to be a Compound Sentence.
<u>Choice B would work, as it follows the definition of a Compound Sentence.</u>
Choice C wouldn't work, that would be a Complex Sentence
Choice D wouldn't, that would be a Simple Sentence.
Also, note that this question is something for the Language Arts section.