Answer:
Your answers: -5, 0, 1
Explanation:
–8 < 3x + 7 ≤ 10 That is the original compount inequality given.
We need to solve it in order to get an easy option.
-15, -5, -3, 0, 1 are the options.
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Steps to solve:
–8 < 3x + 7 ≤ 10
Subtract 7 from both sides
–8 < 3x ≤ 10 - 7
Now do 10-7
–8 < 3x ≤ 3
Do 3x divided by 3
–8 < x ≤ 1
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Evaluation and Answer Explanation:
–8 < x ≤ 1
That is your inequality statement.
The inequality statement states that "x" is greater than -8 but less than or equal to 1.
We can automatically choose 0 and 1 because 0 is greater than -8 and less than or equal to 1.
1 is correct because it is greater than -8 and less than or equal to 1
Now, there are two answers remaining: -15; -5.
Let's try -15.
-15 isn't greater than -8 but is less than 1. This is incorrect because it follows one inequality but doesn't follow both.
**Rule: the bigger you go on the negatives like -20 or -99 your numbers get smaller. If you go more towards the 0 like -1, -5, -3 your numbers get bigger.
-5 works because it is greater than -8 and less than or equal to 1.
Your answers: -5, 0, 1