Question

Solve each compound inequality, write its solution set in interval notation, and graph the solution set on a number line.

5) -3 < 4 p - 3 ? 13

Answer 1

We have ,

, we have to find the range of p, which means we have to solve this inequality for p.

To solve we can break the inequality into two parts or we can solve it all at once. Well i am breaking it up to simplify the solution.

So we have,

And ..

Now solving them one by one.

1. , add +3 to both side
2. ,
3. , divide by 4 both side
4. , i.e. . Or in interval notation,
5. 

Now solve second one,

1. , add +3 both side,
2. ,
3. , now divide by 4 both side,
4. We get,
5. ?. Or in interval notation
6. 

Now combining the to solutions we have

And , we get.

. Or Answer.

or Is the solution for the given in equality.

As zero is not a included so open circle on it and as 4 is included therefore a dark circle on it.

The integer solutions are 1, 2, 3, 4.