Solving Inequalities Using Addition or Subtraction

The video tutorial covers solving inequalities using addition and subtraction. It explains the properties of inequality, such as the addition and subtraction properties, and demonstrates how to solve and graph inequalities. The tutorial includes practice problems and solutions, encouraging viewers to apply the concepts learned. The video concludes with a call to action to subscribe to the channel.

What is the main objective of the lesson on solving inequalities?

• To learn about properties of equality

• To graph linear equations

• To solve inequalities using multiplication

• To solve inequalities using addition or subtraction

Which property states that adding the same number to both sides of an inequality keeps it equivalent?

• Addition property of inequality

• Multiplication property of inequality

• Division property of inequality

• Subtraction property of inequality

What must you do to both sides of an inequality to maintain balance when using the subtraction property?

• Add the same number

• Subtract the same number

• Multiply by the same number

• Divide by the same number

In the example x - 6 < -2, what is the first step to isolate x?

• Divide both sides by 6

• Multiply both sides by 6

• Add 6 to both sides

• Subtract 6 from both sides

When graphing the solution x < 4, what type of circle is used on the number line?

• Open circle

• Closed circle

• Dotted circle

• Shaded circle

In the inequality x + 17 > 11, what operation is needed to solve for x?

• Subtract 17 from both sides

• Multiply both sides by 17

• Add 17 to both sides

• Divide both sides by 17

What is the solution set for the inequality x ≥ -6?

• x is less than -6

• x is greater than -6

• x is less than or equal to -6

• x is greater than or equal to -6

How do you handle decimals when solving inequalities?

• Round them to the nearest whole number

• Treat them as whole numbers

• Perform operations as usual, keeping track of decimal places

• Ignore them

What is the first step in solving the inequality x - 9.1 > -8.5?

• Multiply both sides by 9.1

• Divide both sides by 9.1

• Subtract 9.1 from both sides

• Add 9.1 to both sides

When graphing x ≤ 1/4, what type of circle is used?

• Shaded circle

• Closed circle

• Dotted circle

• Open circle