"7.EEI.4 Apply the concepts of linear equations and inequalities in one variable to real-world and mathematical situations." The Objective I will be able to solve one-step inequalities. Key Question How do I solve one-step inequalities?
Learning objective:
Statement that two expressions are not equal. Involves only one operation. Use the inverse operation to isolate the variable
One-Step Inequalities
Inequality One-Step Inequality Inverse Operation Isolate a variable
Key Vocabulary
The mathematical symbol for an inequality is '≠', which stands for 'not equal to'. The solutions for a one-step inequality can be graphed on a number line. One-step inequalities can be used to solve real-world problems, such as finding the price range for a certain item.
Fun facts
Work together in pairs: What might be the difference between solving a one-step equation and a one-step inequality?
Given the one-step inequality x - 5 > 8 , what is the value of x?
Brain break: Draw your favorite emoji.
Which of the following is an example of a one-step inequality ?
- 3x > 5
- 2x + 1 = 7
- 5 + y < 9
- 2x - 3 = 5
Which is an example of a one-step inequality that can be solved using division?
- 3x > 5
- 2x + 1 = 7
- 5 + y < 9
- 2x - 3 + 2 = 6
Which of the following is an example of a one-step inequality that can be solved using subtraction?
- 3x > 5
- 2x + 1 = 7
- 5 + y < 9
- 2x - 3 - 1 = 4
Find the solution for 2x < 12
Find the solution for -3x < 15