I'll answer problem 9 to get you started
<h3>Answer: Choice (2) 3x-1 = 2x+3</h3>===============================================
Explanation:
We will plug x = 7 into each equation or inequality given to us. Then we determine if we get a true statement or not.
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Let's start with choice (1)
x + 3 > 6
7 + 3 > 6 .... x is replaced with 7
10 > 6
Since 10 is larger than 6, this makes the last inequality true. Therefore, the first inequality is true when x = 7. So we can rule out choice (1) since we are looking for a false statement.
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Move onto choice (2)
3x-1 = 2x+3
3*7-1 = 2*7+3 ... replace every x with 7
21-1 = 14+3
20 = 17
This is false since we don't get the same number on each side. Therefore, choice (2) is the final answer.
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Since we found the answer, we can stop here. But let's keep going to check the others.
choice (3)
2(x+1) = x+9
2*(7+1) = 7+9 ... plug in x = 7
2*(8) = 16
16 = 16
We get the same thing on both sides, so the equation is true. We can rule out choice (3).
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Now onto choice (4)
This is true since -4 is to the left of 0 on the number line, which makes -4 smaller than 0. We can rule out choice (4).