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Solve (x+1<5) n (x-4> -3).
A (all real numbers)
B [x|1 C [x|x<4 or x> 1)

1 Answer

3 votes

Answer:

1 < x < 4 . . . . x

Explanation:

We want to write the answer as a compound inequality, if possible. As it is written, we can solve each separately.

x + 1 < 5

x < 4 . . . . . . . subtract 1

__

x -4 > -3

x > 1 . . . . . . . add 4

So, the solution is ...

(x < 4) ∩ (x > 1) . . . . . . the intersection of the two solutions

As a compound inequality, this is written ...

1 < x < 4

_____

Comment on the problem

The two answer choices shown don't make any sense. You might want to have your teacher demonstrate the solution to this problem.

User Jerrykan
by
7.2k points

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