Solving Two-Step Inequalities Effectively

The video tutorial explains how to solve two-step inequalities, highlighting the differences between inequalities and equations. It covers the use of inequality symbols and provides a step-by-step guide to solving inequalities, including examples. The tutorial emphasizes the importance of coefficients and when to flip inequality signs, especially when multiplying or dividing by negative numbers.

What is the main difference between inequalities and equations?

• Equations use different symbols like >, <, ≥, and ≤.

• Equations always have a solution.

• Inequalities use different symbols like >, <, ≥, and ≤.

• Inequalities always have a solution.

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

• Add the opposite.

• Flip the inequality sign.

• Make sure it's an addition problem.

• Get rid of the coefficient.

How do you get rid of a constant in an inequality?

• By multiplying by the constant.

• By adding the opposite of the constant.

• By subtracting the constant.

• By dividing by the constant.

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 example problem, what is the simplified form of -2/4?

• -1/2

• 1/2

• 2

• -2

What is the coefficient in the inequality x/-3 + 3 > -15?

• 3

• 1/3

• -3

• -1/3

What happens to the inequality sign when you multiply both sides by -3 in the second example?

• It stays the same.

• It flips.

• It disappears.

• It becomes an equal sign.

In the third example, what is the result of 17 - 2x > 2 after adding -17 to both sides?

• -2x < -15

• -2x > -15

• 2x < 15

• 2x > 15

What is the final solution for the inequality 17 - 2x > 2?

• x > 7.5

• x < 7.5

• x > -7.5

• x < -7.5

What should you look at to determine if the inequality sign will flip?

• The variable term.

• The coefficient of the variable.

• The inequality symbol.

• The constant term.