Understanding Inequalities and Graphing

The video tutorial explains how to solve an inequality problem step by step. It begins with setting up the problem and applying the distributive property to simplify both sides. The instructor then combines like terms and isolates the variable to solve the inequality. Finally, the solution is graphed on a number line, with a focus on understanding the placement of fractions and decimals.

What is the first step in solving the given inequality?

• Combine like terms

• Apply the distributive property

• Simplify both sides

• Graph the solution

What is the first step in solving an inequality?

• Graph the solution

• Simplify both sides

• Convert to decimal

• Combine like terms

What operation is used to simplify the expression on both sides of the inequality?

• Addition

• Subtraction

• Division

• Distributive property

After applying the distributive property, what is the next step?

• Solve for x

• Graph the inequality

• Combine like terms

• Convert to decimal

What is the purpose of using the distributive property in solving inequalities?

• To simplify the expression

• To graph the solution

• To convert to decimal

• To find the solution

What is the result of combining like terms in the inequality?

• Negative x plus 4 is less than or equal to 8x minus 15

• Negative x plus 2 is less than or equal to 5x minus 15

• Negative x plus 3 is less than or equal to 6x minus 15

• Negative x plus 5 is less than or equal to 7x minus 15

How do you isolate the variable on one side of the inequality?

• Add the variable to both sides

• Subtract the variable from both sides

• Multiply both sides by the variable

• Divide both sides by the variable

What is the result of adding 15 to both sides of the inequality?

• 10 is less than or equal to 8x

• 20 is less than or equal to 8x

• 5 is less than or equal to 8x

• 15 is less than or equal to 8x

What is the next step after isolating the variable on one side?

• Graph the solution

• Convert to decimal

• Solve the inequality

• Combine like terms

What is the decimal equivalent of the fraction 5/2?

• 2.0

• 2.5

• 3.0

• 3.5