Solving Two-Step Inequalities and Graphing Techniques

The video tutorial covers solving two-step inequalities, emphasizing the importance of flipping the inequality symbol when multiplying or dividing by a negative number. It provides multiple examples, demonstrating step-by-step solutions and explaining when to flip the symbol. The tutorial also discusses graphing solutions on a number line, using open or closed circles, and determining the direction of shading. Viewers are encouraged to practice the examples independently and engage with the content by liking, commenting, and sharing.

What should you do to the inequality symbol when you multiply or divide both sides by a negative number?

• Subtract 1 from it

• Leave it unchanged

• Flip it

• Add 1 to it

What is the first step in solving the inequality 2x + 4 ≥ -24?

• Add 4 to both sides

• Subtract 4 from both sides

• Divide both sides by 2

• Multiply both sides by 2

After subtracting 4 from both sides of 2x + 4 ≥ -24, what is the resulting inequality?

• 2x ≥ -20

• 2x ≥ -28

• 2x ≤ -28

• 2x ≤ -20

When graphing x ≥ -14 on a number line, what type of circle should be used at -14?

• Open circle

• Half-filled circle

• Closed circle

• No circle

What is the first step in solving the inequality -b - 2 > 10?

• Multiply both sides by -1

• Divide both sides by -1

• Subtract 2 from both sides

• Add 2 to both sides

After adding 2 to both sides of -b - 2 > 10, what is the resulting inequality?

• -b > 10

• -b > 12

• -b > 14

• -b > 8

What is the first step in solving the inequality -11x - 4 > -15?

• Divide both sides by -11

• Add 4 to both sides

• Multiply both sides by -11

• Subtract 4 from both sides

After adding 4 to both sides of -11x - 4 > -15, what is the resulting inequality?

• -11x > -9

• -11x > -19

• -11x > -15

• -11x > -11

What is the solution to the inequality 7n - 1 > -169 after adding 1 to both sides?

• 7n > -167

• 7n > -170

• 7n > -168

• 7n > -169

What is the final solution to the inequality m/3 - 3 ≤ -6 after solving for m?

• m ≤ -15

• m ≤ -12

• m ≤ -9

• m ≤ -18