Solve the compound inequality 6b < 24 or 4b + 12 > 4.

Solution:

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values.

The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given compound inequality is 6b < 24 or 4b + 12 > 4

Consider 6b < 24

=> b < 24/6

=> b < 4

Now consider 4b +12 > 4

=> 4b > 4 - 12

4b > -8

b > -2

By solving the inequality we got the range of b: -2 < b < 4

Solve the compound inequality 6b < 24 or 4b + 12 > 4.

Summary:

The compound inequality 6b < 24 or 4b + 12 > 4 gives the range for b as -2 < b < 4.