Work sheet for solving inequalities portfolio unit
Sure! Here's a worksheet for solving inequalities:
Name: ____________________
1. Solve the following inequality: 3x - 5 > 10
Show all steps and write your answer in both interval notation and set notation.
Steps:
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Interval Notation: _________________
Set Notation: _________________
2. Solve the following inequality: -2(x + 3) ≤ 8
Show all steps and write your answer in both interval notation and set notation.
Steps:
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Interval Notation: _________________
Set Notation: _________________
3. Solve the following inequality: 2(4 - 3x) < 6x + 10
Show all steps and write your answer in both interval notation and set notation.
Steps:
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Interval Notation: _________________
Set Notation: _________________
4. Solve the following inequality: 5 - x ≥ 3x + 7
Show all steps and write your answer in both interval notation and set notation.
Steps:
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Interval Notation: _________________
Set Notation: _________________
5. Solve the following compound inequality: -1 < 2x - 3 < 5
Show all steps and write your answer in both interval notation and set notation.
Steps:
_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Interval Notation: _________________
Set Notation: _________________
Remember to check your solutions and state any restrictions, if applicable. Good luck with your unit!