Question

Solve the compound inequality
12h - 3 ≥ 15h or 5 > -0.2h + 10

Answer 1

25< h ≥ -1

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!