Solving Two-Step Inequalities

Tiffany from Super Easy Math explains how to solve two-step inequalities. The video covers the use of inverse operations to isolate variables and emphasizes the importance of changing the inequality direction when multiplying or dividing by negative numbers. Four examples are provided to illustrate these concepts, including handling negative numbers and fractions. The video concludes with a recap of the key steps in solving two-step inequalities.

What is the primary goal when solving two-step inequalities?

• To add numbers on both sides of the inequality

• To isolate the variable on one side of the inequality

• To multiply each side by the largest number

• To subtract the smallest number from each side

What operation is considered the inverse of addition?

• None of the above

• Division

• Multiplication

• Subtraction

What is the inverse operation of multiplication?

• Addition

• Subtraction

• Multiplication

• Division

What key rule must be remembered when working with inequalities and negative numbers?

• Divide by the smallest number

• There are no special rules

• Always add 5

• Change the direction of the inequality sign

In the first example, what is the solution for 'P'?

• P = 35

• P > 35

• P < 35

• P <= 35

When dividing by a negative number, what must you remember to do?

• Nothing, proceed as usual

• Change the direction of the inequality sign

• Subtract 1 from the result

• Add 1 to the result

What is the result of 'P' in the second example?

• P < -2

• P > -2

• P = -2

• P <= -2

In the third example, what operation is used to isolate 'P'?

• Multiplication

• Subtraction

• Division

• Addition

What is the final solution for 'P' in the fourth example?

• P < 2/5

• P <= 2/5

• P > 2/5

• P = 2/5

Why is it okay to have a fraction as the answer in inequalities?

• Because fractions are always the correct answer

• Because fractions are easier to solve

• Because it's mathematically incorrect

• Because it's a valid solution form