Let the replacement set be the set of real numbers.

Question

Give the solution by listing its elements. ( Enter your answer in roster notation). x > -2 and x - 1 < 0.

Answer 1

you require points that satisfy both little inequalities.

x>-2  is points to the right of -2

x<1 is points to the left of 2

Therefore overall solution (called INTERSECTION or ∩ of these two sets) is the interval (-2,1).

This is an example of a CONJUNCTION:  -2 < x < 1