Solving and Graphing One-Step Inequalities

This video tutorial covers solving and graphing one-step inequalities. It explains how to isolate variables and graph solutions on a number line, using examples like y + 3 ≤ 5, P - 7 > -10, 5m < -25, and n/4 ≥ 4. The tutorial also highlights the importance of flipping inequality signs when multiplying or dividing by negative numbers.

What type of circle is used on a graph to represent an inequality that includes the number it equals?

• Open circle

• Dotted circle

• Closed circle

• No circle

If you have the inequality 'y + 3 ≤ 5', what is the first step to solve it?

• Divide both sides by 3

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 3

In the inequality 'P - 7 > -10', what operation is used to isolate the variable P?

• Subtraction

• Addition

• Multiplication

• Division

What is the correct graphical representation direction for an inequality where the variable is greater than a number?

• To the right

• To the left

• No direction

• Both directions

What is the solution to the inequality '5m < -25' after isolating m?

• m > -5

• m < 5

• m < -5

• m > 5

When graphing the solution to 'n / 4 ≥ 4', what type of circle is used at n = 16?

• No circle

• Open circle

• Closed circle

• Dotted circle

In the inequality 'M is less than -5', which side of the number line is shaded?

• No shading

• Both sides

• Left side

• Right side

What happens to the inequality sign when you divide both sides by a negative number?

• It doubles

• It remains the same

• It disappears

• It flips

If 'x / -5 ≤ 2', what is x after solving the inequality and flipping the sign?

• x ≥ 10

• x ≤ -10

• x ≤ 10

• x ≥ -10

What is the result of solving the inequality '-3M > 18' after dividing by -3 and flipping the sign?

• M > -6

• M < 6

• M < -6

• M > 6