How to solve this inequality
1) -3x^3 >= 81
and which of the following inequalities has a solution
2) x-3<3-x<x-5 or x-3>3-x>x-5
x - 3 > 3 - x > x - 5
Split this into two inequalities:
x - 3 > 3 - x ==> x + x > 3 + 3 ==> 2x > 6 ==> x > 6/2 = 3 (group all x's on one side and the numbers on the other side)
3 - x > x - 5 == 3 + 5 > x + x ==> 8 > 2x ==> (8/2) > x or x < 4 by reading the inequality from right to left.