Solving a compound inequality with no solution

The video tutorial covers solving and graphing inequalities, focusing on understanding the concept of 'and' in inequalities, graphing them on a number line, and identifying intersections. It addresses common mistakes students make when graphing, especially when the variable is on the right side. The tutorial provides examples and explains how to determine which regions to shade on the graph, ultimately concluding with the concept of no solution when inequalities do not intersect.

What should you remember to do when dividing an inequality by a negative number?

• Keep the inequality sign the same

• Add a constant to both sides

• Subtract a constant from both sides

• Flip the inequality sign

What does the 'and' condition mean when solving inequalities?

• Both inequalities must be false

• At least one inequality must be true

• Both inequalities must be true

• The inequalities do not need to intersect

When graphing inequalities, what common mistake do students make when the variable is on the right-hand side?

• They do not shade the graph

• They use the wrong number line

• They forget to include the variable

• They graph the inequality in the wrong direction

How can you determine the correct direction to shade on a number line?

• Shade towards the true point

• Shade towards the false point

• Shade towards the smaller number

• Shade towards the larger number

What does it mean if two graphed inequalities do not intersect?

• There is no solution

• There is a solution

• The solution is infinite

• The solution is zero