we have the compound inequality
[tex]6b < 24[/tex] -----> inequality A
[tex]4b+12 > 4[/tex] -----> inequality B
Step 1
Solve the inequality A
[tex]6b < 24\\b < 24/6\\b < 4[/tex]
the solution is the interval-------> (-∞, 4)
Step 2
Solve the inequality B
[tex]4b+12 > 4\\ 4b > 4-12\\4b > -8 \\b > -2[/tex]
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,∞)
