Answer:
25< h ≥ -1
Step-by-step explanation:
Given that:
12h - 3 ≥ 15h or 5 > -0.2h + 10
By taking first inequality:
12h - 3 ≥ 15h
Subtracting 12h from both sides
12h -12h - 3 ≥ 15h - 12h
-3 ≥ 3h
Dividing both sides by -3 (inequality will be changed)
3h/3 ≥ -3/3
h ≥ -1
Now taking the second inequality
5 > -0.2h + 10
Subtracting 10 from both sides
5 - 10 > -0.2h + 10 -10
-5 > -0.2h
Dividing both sides by -0.2 (inequality will be changed)
h > -5/-0.2
h > 25
So the compound inequality will be:
25< h ≥ -1
i hope it will help you!
