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:
21