Solving Inequalities

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Lesson Plans and Worksheets for Algebra I
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Common Core For Algebra I

New York State Common Core Math Algebra I, Module 1, Lesson 14

Worksheets for Algebra 1

Printable “Linear Inequality” worksheets:
Solve 1-step inequalities (addition & subtraction)
Solve 1-step inequalities (multiplication & division)
Solve 1-step inequalities (all operations)
Solve linear inequalities (include number lines)
Graph compound inequalities on the number line
Solve & graph compound inequalities

Lesson 14 Student Outcomes

Students learn if-then moves using the addition and multiplication properties of inequality to solve inequalities and graph the solution sets on the number line.

Properties of Inequality

Recall the Properties of Inequality:

Addition property of inequality:

If A > B, then A + c > B + c for any real number c.

Multiplication property of inequality:

If A > B, then kA > kB for any positive real number k.

Exit Ticket

1. Find the solution set to each inequality. Express the solution in set notation and graphically on the number line.
   
   a. 6x + 2 < 7x - 1
   b. x² + 2(x - 1) ≥ x² + 5
   
   
2. Fergus was absent for today’s lesson and asked Mike to explain why the solution to -5x > 30 is x < -6. Mike said, “Oh! That’s easy. When you multiply by a negative, just flip the inequality.” Provide a better explanation to Fergus about why the direction of the inequality is reversed.

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