Question

Find all real numbers x such that
4x + 2 > 14 and -21x + 1 < 22

Answer 1

first solve for x:

4x+2>14
subtract 2 from both sides

4x>12
divide by 4 and x=3


-21x +1<22
subtract 1 from both sides

-21x <21
divide by -21 on both sides

x=-1