Solving Linear Inequalities

This video tutorial teaches how to solve basic inequalities, graph them on a number line, and express solutions in interval notation. It covers solving inequalities similarly to equations, emphasizing the need to flip the inequality sign when multiplying or dividing by a negative number. Two methods for solving the same inequality are demonstrated, followed by instructions on graphing the solution and expressing it in interval notation. The video concludes with an invitation to visit the instructor's website for additional help and resources.

What is the main focus of this video tutorial?

• Exploring geometry concepts

• Learning about calculus

• Understanding and solving basic inequalities

• Solving quadratic equations

When solving inequalities, what must you remember to do when multiplying or dividing by a negative number?

• Add a constant to both sides

• Flip the inequality sign

• Subtract a constant from both sides

• Keep the inequality sign the same

In the inequality 5x - 4 ≥ 3x - 8, what is the first step to isolate x?

• Divide both sides by 5

• Multiply both sides by 2

• Add 4 to both sides

• Subtract 4 from both sides

After adding 4 to both sides in the inequality 5x - 4 ≥ 3x - 8, what is the resulting expression on the right side?

• 3x - 4

• 3x + 4

• 3x - 8

• 3x - 4

What is the final solution for x in the inequality 5x - 4 ≥ 3x - 8?

• x ≥ -2

• x ≤ -2

• x > -2

• x = -2

What is the first step in solving the inequality 5x - 4 ≥ 3x - 8?

• Subtract 3x from both sides

• Add 4 to both sides

• Multiply both sides by 2

• Divide both sides by 5

What is the result of subtracting 3x from both sides in the inequality 5x - 4 ≥ 3x - 8?

• 8x ≤ -4

• 8x ≥ -4

• 2x ≤ -4

• 2x ≥ -4

What is the final step in solving the inequality 5x - 4 ≥ 3x - 8?

• Add 4 to both sides

• Subtract 3x from both sides

• Divide both sides by 2

• Multiply both sides by 2

What is the first step in solving the inequality 5x - 4 ≥ 3x - 8?

• Multiply both sides by 2

• Add 4 to both sides

• Divide both sides by 5

• Subtract 3x from both sides

What is the result of subtracting 3x from both sides in the inequality 5x - 4 ≥ 3x - 8?

• 2x ≤ -4

• 2x ≥ -4

• 8x ≤ -4

• 8x ≥ -4