The solution set of the compound inequality 3.5x - 10 > -3 and 8x - 9 < 39 is ?

Solution:

3.5x - 10 > -3 can be written as

(7/2)x > 10 - 3

(7/2)x > 7

x > 2

Similarly

8x - 9 < 39

8x < 48

x < 6

Since x > 2 and x < 6, we can say that the solution of the compound inequality is 2 < x < 6

The solution set of the compound inequality 3.5x - 10 > -3 and 8x - 9 < 39 is ?

Summary:

The solution set of the compound inequality 3.5x - 10 > -3 and 8x - 9 < 39 is 2 < x < 6