Solving Two Step Inequalities and Graphing Techniques

This video tutorial covers solving and graphing two-step inequalities. It begins with an introduction to the rules for graphing inequalities, including the use of open and closed circles on a number line. The tutorial then explains how to solve inequalities, emphasizing the importance of flipping the inequality sign when multiplying or dividing by a negative number. Several examples are provided to illustrate these concepts, including both basic and advanced problems.

What type of circle is used to represent 'less than' or 'greater than' on a number line?

• Dotted circle

• Colored circle

• Open circle

• Closed circle

If x is less than 3, where should the arrow point on the number line?

• To the left

• To the right

• Downwards

• Upwards

For the inequality x is greater than or equal to 7, what type of circle should be used?

• Open circle

• Closed circle

• Half-filled circle

• Dotted circle

When writing an inequality from a graph, what does an arrow pointing to the left indicate?

• Greater than

• Not equal to

• Less than

• Equal to

What must you do to the inequality symbol when you multiply or divide by a negative number?

• Keep it the same

• Flip it

• Double it

• Remove it

In the inequality 3x + 2 < -4, what is the first step to isolate x?

• Add 2 to both sides

• Subtract 2 from both sides

• Divide both sides by 3

• Multiply both sides by 3

If x/6 + 2 > -1, what is the next step after subtracting 2 from both sides?

• Add 6

• Subtract 6

• Divide by 6

• Multiply by 6

For the inequality -7x + 8 ≤ 1, what happens to the inequality sign when you divide by -7?

• It flips

• It doubles

• It stays the same

• It is removed

In the inequality 3 - 4x < 31, what is the result after subtracting 3 from both sides?

• 28

• 34

• 27

• 31

For the inequality x + 11 / -2 < -2, what is the first step to isolate x?

• Divide both sides by -2

• Subtract 11 from both sides

• Multiply both sides by -2

• Add 11 to both sides