Exploring 2-Step Inequalities

The video tutorial covers two-step inequalities, highlighting the key difference between inequalities and equations: the need to flip the inequality symbol when multiplying or dividing by a negative number. It provides three examples to demonstrate this concept, showing how to solve and verify inequalities. The tutorial concludes with two examples of two-step inequalities, explaining the process of solving and graphing them.

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

• Flip it

• Leave it unchanged

• Add a negative sign

• Multiply it by -1

In the inequality -2x > 6, what is the correct solution for x?

• x > -3

• x < -3

• x > 3

• x < 3

Why do we need to flip the inequality symbol when solving -2x > 6?

• Because we are adding a negative number

• Because we are solving for x

• Because we are subtracting a negative number

• Because we are multiplying or dividing by a negative number

What is the correct solution for the inequality -1/2x ≤ 2?

• x ≤ 4

• x ≥ 4

• x ≥ -4

• x ≤ -4

In the inequality -1/2x ≤ 2, what happens if you do not flip the inequality symbol?

• The inequality symbol will change automatically

• The solution will be incorrect

• The solution will be correct

• The variable will be isolated

What is the correct solution for the inequality 1 < x / -2?

• x > -1

• x < -2

• x < -1

• x > -2

In the inequality 1 < x / -2, what is the result of not flipping the inequality symbol?

• The solution will be correct

• The solution will be incorrect

• The inequality symbol will change automatically

• The variable will be isolated

What is the first step in solving the two-step inequality 2x + 5 < 3?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 5 from both sides

• Add 5 to both sides

What is the correct solution for the inequality 2x + 5 < 3?

• x > 1

• x < 1

• x > -1

• x < -1

In the inequality 10 ≤ 4 - 3x, what is the correct solution for x?

• x ≥ 2

• x ≤ -2

• x ≥ -2

• x ≤ 2