You can put this solution on YOUR website! Solve the inequality: 5<1-3x (less than or equall to) 10
5 < 1-3x < = 10 ----(1)
Consider 5 < 1-3x
5 - 1 <-3x
4 < -3x
That is -3x > 4
Dividing by (-3) and since division by a negative quantity alters the inequality, the greater than becoms less than
x < (-4)/3 ----(*)
Consider (1-3x) < = 10
1 - 10 <= 3x
-9 <= 3x
dividing by 3(>0) and since division by a positive quantity does not alter the inequality the less than remains less than
-3 <= x ----(**)
From (**) and (*), we conclude that
-3 <= x < (-4)/3
(