solve the inqequallity and graph the soulution h > 3 divided by 2

Answer 1

To solve the inequality h > 3/2, we can use the same steps as solving any inequality.

Step 1: Start with the given inequality:
h > 3/2

Step 2: Multiply both sides of the inequality by 2 to eliminate the denominator:
2h > 2 * (3/2)
2h > 3

Step 3: Divide both sides of the inequality by 2 to solve for h:
(2h)/2 > 3/2
h > 3/2

The solution to the inequality is h > 3/2.

To graph the solution, we can represent it on a number line. Since the inequality is h > 3/2, we want to shade the interval on the number line that is greater than 3/2. We can represent this by an open circle at 3/2 and shading everything to the right of it. The graph would look like this:

--------------|==============>
... -3 -2 -1 0 1 2 3/2 2 3 ...

The shaded region represents the solution to the inequality h > 3/2.