Solving Systems of Inequalities Challenge

What is the main focus of Learning Target 4.02?

• Identifying and graphing solutions to systems of linear inequalities

• Learning about exponential growth

• Solving quadratic equations

• Understanding polynomial functions

What should you do if you haven't watched the previous video lesson on graphing linear inequalities?

• Ask a friend for notes

• Read a textbook instead

• Watch it to make the current lesson easier

• Skip it and proceed with the current lesson

How do you determine if an ordered pair is a solution to a system of linear inequalities?

• By checking if it satisfies both inequalities

• By solving the inequalities algebraically

• By graphing the ordered pair

• By using a calculator

What is the result if one of the inequalities in a system is false for a given ordered pair?

• The ordered pair is a partial solution

• The ordered pair is not a solution

• The ordered pair is a solution

• The ordered pair needs to be checked again

What is the first step in graphing a system of linear inequalities?

• Rewriting the inequalities in slope-intercept form

• Finding the slope

• Identifying the y-intercept

• Shading the graph

How do you decide whether to use a solid or dotted line when graphing an inequality?

• Based on the slope

• Based on the x-intercept

• Based on the y-intercept

• Based on the inequality symbol

What does shading above the line represent in the graph of an inequality?

• Values not related to the line

• Values less than the line

• Values greater than the line

• Values equal to the line

What is the significance of the overlapping shaded regions in a system of linear inequalities?

• They represent the non-solutions

• They represent the x-intercepts

• They represent the solutions to the system

• They represent the boundary lines

What should you do if you encounter parallel lines in a system of linear inequalities?

• Recalculate the slopes

• Change the inequalities

• Ignore the lines

• Check if the shaded regions overlap

What is the homework assignment related to this lesson?

• Understanding exponential functions

• Solving systems of linear inequalities

• Graphing quadratic functions

• Solving polynomial equations