Solving Inequalities with Addition and Subtraction

This video tutorial covers Chapter 6, Lesson 6 on solving one-step equation inequalities using addition and subtraction. It introduces the concept of inequalities, explains the addition and subtraction properties of inequalities, and provides examples to illustrate these properties. The tutorial also demonstrates how to graph inequalities on a number line and includes practice problems for students to solve, followed by a review of the solutions.

What is the main focus of Chapter 6, Lesson 6?

• Solving equations

• Solving inequalities

• Graphing functions

• Multiplying polynomials

Which property allows you to add the same number to both sides of an inequality?

• Division property of inequalities

• Multiplication property of inequalities

• Subtraction property of inequalities

• Addition property of inequalities

If a < b, what can be said about a + c and b + c?

• a + c > b + c

• a + c < b + c

• a + c = b + c

• a + c ≥ b + c

Solve the inequality: x + 3 > 10. What is the value of x?

• x ≥ 7

• x > 7

• x < 7

• x = 7

What type of dot is used on a number line for an inequality that includes 'greater than or equal to'?

• No dot

• Half-filled dot

• Closed dot

• Open dot

Graph the solution set for a + 1/2 ≤ 2. What is the correct representation?

• Closed dot at 1.5, shading to the right

• Open dot at 1.5, shading to the right

• Closed dot at 1.5, shading to the left

• Open dot at 1.5, shading to the left

What does an open dot on a number line indicate?

• The value is greater than the solution

• The value is equal to the solution

• The value is not included in the solution

• The value is included in the solution

Solve the inequality: 8 - 3 < 8. What is the value of a?

• a ≤ 5

• a = 5

• a > 5

• a < 5

Solve the inequality: h + 4 > 4. What is the value of h?

• h ≥ 0

• h = 0

• h < 0

• h > 0

Solve the inequality: x + 6 ≤ 1. What is the value of x?

• x < -5

• x ≥ -5

• x > -5

• x ≤ -5