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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.



Dividing both sides of the inequality by a positive number 5.



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


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