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(x + 1 < 4) ∩ (x - 8 > -7).

Sagot :

Oseniidn

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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Chetankachanaidn

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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