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Sagot :
The correct answer is x = 2
Inequality
(x + 1 < 4) ∩ (x-8>-7)
Make x the subject in each case:
(x<4-1)(x>-7+8)
(x<3)∩(x>1)
If x<3, then x could be 2, 1, -1, etc.
If x>1, then x could be 2, 3, 4, etc.
Thus (x<3)∩(x>1) = 2
More on inequalities can be found here: https://brainly.com/question/24853349
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Answer:
x = 2
Step-by-step explanation:
Hello!
We are looking at the intersection of two sets, or common values found between two sets of data.
We can solve for x on each side and find any common values between.
Find the Intersection
- [tex](x + 1 < 4) \cap(x - 8 > -7)[/tex]
- [tex](x < 3)\cap(x > 1)[/tex]
- [tex](x = 2, 1, 0, -1, -2...)\cap(x = 2, 3, 4, 5, 6...)[/tex]
- [tex]x = 2[/tex]
As you can see, the intersection occurs at the common values. The only value that is common between the two sets is 2.
Therefore, the intersection of these sets is 2.
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