Solving and Graphing Two Step Inequalities

This video tutorial teaches how to solve and graph two-step inequalities. It begins with an introduction to the topic, followed by detailed examples of solving and graphing two inequalities. The video also includes practice problems for viewers to try on their own, with solutions provided at the end. Key concepts include solving inequalities, graphing solutions, and understanding the rules for inequalities involving negative numbers.

What is the first step in solving the inequality 4 * a number + 1 < 45?

• Add 1 to both sides

• Subtract 1 from both sides

• Divide by 4

• Multiply by 4

After subtracting 1 from both sides in the inequality 4 * a number + 1 < 45, what is the next step?

• Add 4 to both sides

• Subtract 4 from both sides

• Divide both sides by 4

• Multiply both sides by 4

How is the number 'n' graphed when n < 11?

• Closed circle at 10

• Open circle at 10

• Open circle at 11

• Closed circle at 11

What is the result of adding 7 to both sides in the inequality involving division by -3?

• n / -3 > 9

• n / -3 < 9

• n / -3 > 5

• n / -3 < 5

What rule is applied when multiplying both sides of an inequality by a negative number?

• Subtract the number

• Add the number

• Flip the inequality sign

• Keep the inequality sign the same

What is the correct graph representation for n ≤ -27?

• Open circle at -27, values to the left

• Closed circle at -27, values to the left

• Open circle at -27, values to the right

• Closed circle at -27, values to the right

What is the first step to solve the inequality 5 * n + 5 > -45?

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply by 5

• Divide by 5

After simplifying the inequality 5 * n + 5 > -45, what is n compared to -10?

• n ≥ -10

• n > -10

• n ≤ -10

• n < -10

What is the correct graph representation for n > -10?

• Open circle at -10, values to the left

• Closed circle at -10, values to the left

• Closed circle at -10, values to the right

• Open circle at -10, values to the right

What is the solution for n when 6 * n - 16 ≥ 2?

• n ≥ 3

• n ≤ 3

• n > 3

• n < 3