Solving and Graphing 2-Step Inequalities

The video tutorial covers solving and graphing two-step inequalities. It begins with an introduction to the basic concepts, including the use of open and closed circles on a number line. The tutorial then demonstrates how to graph inequalities and solve them using examples. Key rules, such as flipping the inequality symbol when multiplying or dividing by a negative number, are highlighted. The session concludes with assignment instructions and a summary of the key points discussed.

What type of circle is used for inequalities that do not include 'equal to'?

• Open circle

• Filled circle

• Shaded circle

• Closed circle

If x is less than 3, how would you represent this on a number line?

• Closed circle on 3, shade to the right

• Open circle on 3, shade to the left

• Closed circle on 3, shade to the left

• Open circle on 3, shade to the right

How do you write the inequality for values less than -2 from a graph?

• x > -2

• x ≤ -2

• x < -2

• x ≥ -2

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

• Subtract 1 from it

• Leave it unchanged

• Flip it

• Add 1 to it

Solve the inequality: x/6 > -3. What is x?

• x > -18

• x ≤ -18

• x < -18

• x ≥ -18

When solving -7x ≤ -7, what is the value of x?

• x > 1

• x ≤ 1

• x < 1

• x ≥ 1

What is the reciprocal of -5/6?

• -6/5

• 6/5

• -5/6

• 5/6

If x is less than or equal to -18, how would you graph this on a number line?

• Closed circle on -18, shade to the right

• Open circle on -18, shade to the left

• Open circle on -18, shade to the right

• Closed circle on -18, shade to the left

In the inequality x + 11 > 4, what is the value of x?

• x ≥ -7

• x < -7

• x ≤ -7

• x > -7

What should you do after finishing the notes?

• Work on classwork and homework

• Submit the notes

• Take a break

• Review the notes