Solving Linear Inequalities and Decimals

This video tutorial covers solving linear inequalities in one variable, focusing on examples with fractions and decimals. It provides step-by-step instructions for solving these inequalities, including clearing fractions and decimals, using number lines, and interval notation. The tutorial also includes links to additional resources for further learning.

What is the main topic of the video?

• Polynomial functions

• Linear inequalities in one variable

• Trigonometric identities

• Quadratic equations

What is the first step in solving a linear inequality with fractions?

• Add all fractions together

• Multiply by the least common denominator

• Convert fractions to decimals

• Subtract the smallest fraction

When solving inequalities, what must you do when dividing by a negative number?

• Flip the inequality sign

• Multiply by 2

• Add 1 to both sides

• Subtract 1 from both sides

How do you clear decimals in a linear inequality problem?

• Convert decimals to fractions

• Add decimals together

• Shift decimal places to the right

• Multiply by 10

What is the solution to the inequality 3x + 20 > 2 after clearing decimals?

• x > -6

• x < 6

• x < -6

• x > 6

What is the LCD used in the third problem involving fractions?

• 10

• 15

• 20

• 25

In the third problem, what is the simplified form of 50/75?

• 1/2

• 2/3

• 4/5

• 3/4

What is the maximum number of decimal places to consider in the fourth problem?

• 4

• 2

• 3

• 1

What is the final solution for the inequality 4x ≥ 116?

• x ≥ 29

• x ≤ 29

• x < 29

• x > 29