Solving One-Step Inequalities: Key Concepts and Examples

This video tutorial explains how to solve one-step inequalities, similar to solving equations. It covers four examples, demonstrating the use of inverse operations to isolate the variable. Key points include maintaining the inequality by performing operations on both sides and flipping the inequality symbol when multiplying or dividing by a negative number. The video emphasizes careful handling of inequality symbols and provides strategies for checking solutions.

What is the first step in solving one-step inequalities?

• Flip the inequality symbol

• Add or subtract values

• Graph the inequality

• Identify and isolate the variable

What operation is used to isolate 'x' in the inequality 10 + x < 6?

• Multiplication

• Subtraction

• Division

• Addition

How do you verify if x < -4 is a correct solution?

• Substitute x = -4

• Substitute x = 4

• Substitute x = -5

• Substitute x = 0

What must be done after isolating the variable on one side of an inequality?

• Flip the inequality symbol

• Verify by substitution

• Rewrite with the variable first

• None of the above

What is the correct interpretation of the inequality symbol when it 'eats' the larger number?

• The variable is less than the number

• The variable is greater than the number

• The variable is equal to the number

• None of the above

What should you be careful about when flipping the sides of an inequality?

• Subtracting values from both sides

• Leaving the inequality symbol unchanged

• Changing the inequality symbol

• Adding values to both sides

When dividing or multiplying by a negative number, what must you do to the inequality symbol?

• Leave it unchanged

• Flip it

• Remove it

• Replace it with an equal sign

What is the result of dividing both sides of -12x ≥ 2 by -12?

• x ≥ 6

• x ≤ -6

• x ≤ 6

• x ≥ -6

In the inequality -5x/2 > 10, what is the correct step to isolate x?

• Subtract 10

• Divide by -5

• Multiply by 2

• Add 5

Why don't we flip the inequality symbol when multiplying by a positive number?

• It simplifies the inequality

• It complicates the inequality

• It's required by mathematical laws

• It's unnecessary as the relationship doesn't change