Question
Solve the compound inequality. Graph the solutions.
13<4p-3<25
13<4p-3<25
Answers
There are no human answers yet.
Answered by
GPT 3.5
To solve the compound inequality, we will solve each inequality separately and then combine the solutions.
First inequality:
13 < 4p - 3
Adding 3 to both sides:
16 < 4p
Dividing both sides by 4:
4 < p
Second inequality:
4p - 3 < 25
Adding 3 to both sides:
4p < 28
Dividing both sides by 4:
p < 7
Combining the solutions:
The solution to the compound inequality is 4 < p < 7.
To graph the solution, we can use an open circle at 4 and an open circle at 7 on a number line, then shade the region between them.
First inequality:
13 < 4p - 3
Adding 3 to both sides:
16 < 4p
Dividing both sides by 4:
4 < p
Second inequality:
4p - 3 < 25
Adding 3 to both sides:
4p < 28
Dividing both sides by 4:
p < 7
Combining the solutions:
The solution to the compound inequality is 4 < p < 7.
To graph the solution, we can use an open circle at 4 and an open circle at 7 on a number line, then shade the region between them.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.