Solving and Graphing an inequality when the solution point is a decimal

The video tutorial guides students through solving an inequality step by step. It begins with applying the distributive property and combining like terms, then moves on to isolating the variable to solve the inequality. Finally, it explains how to graph the solution on a number line, emphasizing the importance of understanding fractions and decimals in graphing.

What is the first step in solving the inequality problem presented in the video?

• Convert fractions to decimals

• Apply the distributive property

• Graph the inequality

• Subtract variables from both sides

Why is it important to make the variable positive when solving an inequality?

• To make calculations easier

• To avoid negative solutions

• To ensure the inequality is correct

• To simplify the graphing process

What operation is performed to both sides of the inequality to isolate the variable?

• Multiply by 8

• Divide by 4

• Add 15

• Subtract 5

How can you graph a fraction on a number line effectively?

• Use only whole numbers

• Convert the fraction to a decimal

• Ignore the fraction

• Estimate its position

What does the inequality X ≥ 2.5 represent on a number line?

• X is between 2 and 3

• X is greater than or equal to 2.5

• X is equal to 2.5

• X is less than 2.5