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The symbol ∩ in math means that two equations are combined to create a general statement.

The first answer indicates that x + 1 is less than -1, and less than 1. Any number less than -1 will fit both criteria.

The second answer indicates that x + 1 is less than or equal to 1, and greater than or equal to 1. There is one solution, as x = 0 will give an output of 1, which fits both criteria.

The third answer indicates that x + 1 is less than 1, and greater than 1. There is no possible value of x that would fit both criteria, as it is impossible for one number to fit both criteria.

The answer is (x + 1 < 1) ∩ (x + 1 > 1).