How to graph a linear inequality by switching the sign when solving for y

The video tutorial explains how to graph a linear inequality. It begins by solving for Y, emphasizing the importance of switching the inequality sign when multiplying or dividing by a negative number. The tutorial then covers graphing the corresponding linear equation, determining whether the line should be dashed or solid based on the inequality symbol, and using test points to decide which side of the line to shade. The process is demonstrated with a specific example, ensuring a clear understanding of each step involved in graphing linear inequalities.

What must you remember to do when dividing both sides of an inequality by a negative number?

• Subtract a constant from both sides

• Multiply both sides by a positive number

• Switch the inequality sign

• Add a constant to both sides

When graphing a linear equation, what does the 'M' in Y = MX + B represent?

• The x-intercept

• The constant term

• The slope

• The y-intercept

How do you determine if a line should be dashed or solid when graphing an inequality?

• By the slope of the line

• By the length of the line

• By the color of the line

• By checking if the inequality includes an equal sign

What is the best test point to use when determining shading for a linear inequality graph?

• (-1,-1)

• (0,0)

• (2,2)

• (1,1)

Why is the line not part of the solution in a dashed line graph?

• Because the line is vertical

• Because the inequality is equal to

• Because the line is horizontal

• Because the inequality is less than or greater than, not equal to