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)

Question

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)

Philoid · Accepted Answer

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:

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)