Solving One-Step and Two-Step Inequalities

The video tutorial introduces the concept of inequalities, explaining their definition and characteristics. It covers how to solve one-step and two-step inequalities, emphasizing the importance of reversing the inequality sign when multiplying or dividing by a negative number. The tutorial includes examples and non-examples to illustrate possible and impossible solutions. It concludes with practice problems for viewers to try on their own.

What does the prefix 'in' in 'inequality' signify?

• Not equal

• Inside

• Infinite

• Integral

Which symbol represents 'less than or equal to'?

• >=

• <=

• >

• <

Which of the following is a characteristic of inequalities?

• Only one solution

• No solutions

• More than one possible solution

• Always equal

What must you do when you divide both sides of an inequality by a negative number?

• Keep the sign the same

• Change the inequality sign

• Multiply by -1

• Nothing

If 4x > 12, what is the range of possible values for x?

• x > 3

• x < 3

• x = 3

• x <= 3

For the inequality -5x > 30, what is the correct solution for x?

• x >= -6

• x > -6

• x = -6

• x < -6

What is the first step in solving the two-step inequality 2x + 5 < 17?

• Divide by 2

• Multiply by 2

• Subtract 5

• Add 5

After solving the inequality -3x <= 6, what is the correct direction of the inequality sign?

• <

• >=

• >

• <=

What is the solution to the inequality 2x - 4 > 6?

• x < 5

• x > 5

• x > 3

• x < 3

How do you solve the inequality x/3 - 2 < 1?

• Subtract 2

• Add 2

• Divide by 3

• Multiply by 3