Solving Multi-Step Inequalities

The video tutorial by Miss Travis covers lesson 2.4 on solving multi-step inequalities. It begins with an introduction to the topic and outlines the learning targets. The tutorial includes several examples demonstrating how to solve inequalities, graph them, and use interval notation. It also covers solving inequalities with variables on both sides and addresses true and false statements. The lesson concludes with a real-life application problem and instructions for assignments.

What is the learning target for this lesson?

• Solving single-step equations

• Writing and solving multi-step inequalities

• Understanding quadratic functions

• Graphing linear equations

Which property of inequality is used to isolate the variable in the inequality X/(-2) + 4 > -1?

• Multiplication

• Addition

• Division

• Subtraction

When multiplying or dividing by a negative number in an inequality, what must you remember to do?

• Reverse the inequality symbol

• Keep the inequality symbol the same

• Add the same number to both sides

• Subtract the same number from both sides

In the inequality C/4 ≤ 1/4, what is the interval notation for the solution?

• (-∞, 1/4)

• (1/4, ∞)

• [1/4, ∞)

• (-∞, 1/4]

What is the first step in solving the inequality 2X - 6 ≤ 4?

• Add 6 to both sides

• Subtract 6 from both sides

• Multiply both sides by 2

• Divide both sides by 2

If an inequality results in a true statement like -5 < 0, what does it mean?

• The solution is a single number

• The inequality is invalid

• The solution is all real numbers

• There is no solution

What does it mean if an inequality results in a false statement?

• The inequality is invalid

• The solution is all real numbers

• There is no solution

• The solution is a single number

What is the interval notation for a solution that includes all real numbers?

• (-∞, ∞)

• [0, ∞)

• (-∞, 0]

• [0, 1]

In the context of test scores, what does 'at least' mean in an inequality?

• Greater than

• Greater than or equal to

• Less than

• Less than or equal to

If you need an average score of at least 85, and your scores are 79, 85, 86, and 88, what is the minimum score you need on the fifth test?

• 85

• 86

• 88

• 87