Solution:
Step 1:
The given inequality is 3(1−x)<2(x+4)
=> 3−3x<2x+8
Adding -8 and 3x on both sides of the inequality.
=>3−8<2x+3x
=>−5<5x
Dividing both sides of the inequality by a positive number 5.
=>−55<5x5
=>−1<x
Step 2:
All numbers greater than -1 represent the solution of the given inequality .
The solution set is (−1,∞)
The graphical representation on the number line is
