Solving Two-Step Inequalities

This video tutorial introduces solving two-step inequalities, highlighting the similarities with equations. It covers the process of adding or subtracting constants and multiplying or dividing by coefficients, emphasizing the key difference of flipping the inequality sign when multiplying or dividing by a negative number. The tutorial includes four examples, demonstrating solving and graphing inequalities, handling negative numbers, and using parentheses. The session concludes with practice problems for immediate feedback.

What is the first step in solving a two-step inequality?

• Multiply both sides by the variable

• Add or subtract the constant term from both sides

• Flip the inequality sign

• Divide both sides by the variable

When should you flip the inequality sign?

• When you multiply or divide by a positive number

• When you multiply or divide by a negative number

• When you subtract a positive number

• When you add a positive number

In the inequality 5x - 4 ≥ 11, what is the value of x?

• x ≤ 2

• x ≥ 2

• x ≤ 3

• x ≥ 3

How do you graph the solution x ≥ 3?

• Open circle on 3, shade to the right

• Closed circle on 3, shade to the right

• Closed circle on 3, shade to the left

• Open circle on 3, shade to the left

In the inequality x / -3 + 4 < 13, what is the first step?

• Subtract 4 from both sides

• Divide both sides by -3

• Multiply both sides by -3

• Add 4 to both sides

What is the solution to the inequality x / -3 + 4 < 13?

• x > -27

• x < 27

• x < -27

• x > 27

In the inequality 4 - 3x ≥ 19, what is the value of x?

• x ≤ -5

• x ≥ -5

• x ≤ 5

• x ≥ 5

How do you graph the solution x ≤ -5?

• Closed circle on -5, shade to the left

• Open circle on -5, shade to the left

• Closed circle on -5, shade to the right

• Open circle on -5, shade to the right

In the inequality -7(x + 3) ≤ 28, what is the first step?

• Distribute -7

• Add 3 to both sides

• Divide both sides by -7

• Subtract 3 from both sides

What is the solution to the inequality -7(x + 3) ≤ 28?

• x ≤ -7

• x ≤ 7

• x ≥ 7

• x ≥ -7