Solving 1 and 2 Step Inequalities

This video tutorial covers the basics of one and two-step inequalities, including how to solve and graph them. The instructor provides multiple examples, demonstrating the process of isolating variables, flipping inequality signs when necessary, and graphing solutions on a number line. The tutorial also introduces two-step inequalities and addresses more complex problems, ensuring a comprehensive understanding of the topic.

What does the prefix 'in' in 'inequality' signify?

• Not

• Greater

• Equal

• Less

How do you represent 'less than or equal to' using symbols?

• >=

• <=

• >

• <

When solving inequalities, what should you do if the variable is on the right side?

• Leave it as it is

• Flip the inequality and the variable

• Add the same number to both sides

• Subtract the same number from both sides

What happens to the inequality symbol when you multiply or divide both sides by a negative number?

• It stays the same

• It becomes an equal sign

• It flips

• It disappears

In the inequality x < -7, what type of point is used on the graph?

• Open point

• No point

• Closed point

• Shaded point

What is the first step in solving the inequality m/2 + 1 > -1?

• Divide both sides by 2

• Add 1 to both sides

• Subtract 1 from both sides

• Multiply both sides by 2

In the inequality 4v + 7 > 19, what is the value of v?

• v >= 3

• v = 3

• v < 3

• v > 3

How do you graph the solution to the inequality x > 4?

• Open point at 4, shade to the right

• Closed point at 4, shade to the left

• Open point at 4, shade to the left

• Closed point at 4, shade to the right

What is the solution to the inequality -6b < 36?

• b >= -6

• b > -6

• b < -6

• b = -6

In the inequality a/7 + 5 > 7, what is the value of a?

• a > 14

• a >= 14

• a < 14

• a = 14