we have the compound inequality
\(6b < 24\) -----> inequality A
\(4b+12 > 4\) -----> inequality B
Step 1
Solve the inequality A
\(6b < 24\\b < 24/6\\b < 4\)
the solution is the interval-------> (-∞, 4)
Step 2
Solve the inequality B
\(4b+12 > 4\\ 4b > 4-12\\4b > -8 \\b > -2\)
the solution is the interval-------> (-2,∞)
Step 3
we know that
the solution
inequality A or inequality B=solution inequality A+solution inequality B
(-∞, 4)+(-2,∞)
therefore
the answer is
(-∞, 4)+(-2,∞)
