Q19 of 65 Page 122

Solve the inequalities in Exercises 17 to 20 and show the graph of the solution in each case on number line:

3 (1 – x) < 2 (x + 4)

We have,

3 (1 – x) < 2 (x + 4)


Solving the given inequality, we get:


3 (1 – x) < 2 (x + 4)


= 3 – 3x < 2x + 8


= 3 – 8 < 2x + 3x


= - 5 < 5x



= - 1 < x


Now, the graphical representation of the solution is as follows:



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