Examine the inequality and its graph. Which values are part of the solution set? Check all that apply.
2 answers:
Answer: 3 and -1/2.
Step-by-step explanation:
You can represent any linear inequality using any of the following forms:
When the sign is pointing towards x, it means that x is greater than b.
The line under the greater sign means that x can also equal b.
In your case, b is -4., as that is the point at which numbers are no longer part of the set. An open dot over -4 is a way to represent that -4 is not a part of the solution - so x cannot equal -4.
The options given:
- 3: is greater than -4
- -5: is not greater than -4
- -1/2: is greater than -4
- -4.5: is not greater than -4
- -4: is not greater than -4.
So, your solutions are 3 and -1/2.
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Using the Fundamental Counting Theorem, it is found that there are 648 ways to paint the spinner.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem, we have that the first sector can be painted in any of the 4 colors, the others until the 5th can be painted in 3 colors(not the adjacent), and the sixth in only 2, as it is adjacent to both the 5th and the 1st sectors, hence:
Hence the number of ways is given by:
N = 4 x 3 x 3 x 3 x 3 x 2 = 648.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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