Understanding 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