Question

Which of the following is the best description of the solution of a - 4 > 1 and a + 2 < 1?
all real numbers
a > 5 and a < -1
-1 < a < 5
no solution

Answer 1

a - 4 > 1

a > 1+4

a > 5

----------------

a+2 < 1

a < 1-2

a < -1


So a > 5 AND a < -1. But this isn't possible as no number fits this description (ie there is no number less than -1 AND greater than 5)


So there are no solutions.