Question

12h - 3 > 15h or 5 > -0.2h +10

Answer 1

Given composite inequality : 12h - 3 > 15h or 5 > -0.2h +10.

Let us solve them one by one.

12h - 3 > 15h

Subtracting 12h from both sides, we get

12h-12h - 3 > 15h -12h

-3 > 3h

Dividing both sides by 3, we get

-3/3 > 3h/3

-1 > h .

Solving 5 > -0.2h +10.

Adding -0.2h on both sides, we get

5 +0.2h > -0.2h+0.2h +10.

5 +0.2h > 10.

Subtracting 5 from both sides, we get

5-5 +0.2h > 10-5.

0.2h > 5

Dividing both sides by 0.2, we get

0.2h/0.2 > 5/0.2

h > 25.

Therefore -1>h or h>25.