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

Solution:

In Mathematics, equations are not always about being balanced on both sides with an 'equal to' symbol.

Sometimes it can be about 'not an equal to' relationship like something is greater than the other or less than.

In mathematics, inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.

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