Graphing Systems of Inequalities

The video tutorial covers graphing systems of inequalities, focusing on dashed and solid lines, shading above or below the line, and using the slope-intercept form. It demonstrates how to graph equations using Desmos, a graphing tool, to find solutions where shaded regions overlap. Practical applications are also discussed, including solving real-world problems using inequalities.

What type of line is used when the inequality is strict (e.g., y > mx + b)?

• Bold line

• Dotted line

• Dashed line

• Solid line

When graphing y < mx + b, where should the shading be?

• To the right of the line

• Above the line

• Below the line

• On the line

What is the first step in graphing the equation y = mx + b?

• Find the x-intercept

• Find the y-intercept

• Draw the line

• Find the slope

If the slope of a line is -1/2, what does this indicate about the direction of the line?

• It goes up and to the right

• It goes down and to the right

• It goes up and to the left

• It goes down and to the left

Which website is recommended for graphing inequalities?

• Desmos

• GeoGebra

• Khan Academy

• WolframAlpha

What is a key feature of Desmos that helps in graphing?

• It requires a subscription

• It only graphs linear equations

• It highlights points on the graph

• It provides step-by-step solutions

What is the solution region for a system of inequalities?

• Where the lines are parallel

• Where the shading overlaps

• Where the lines intersect

• Where the lines are perpendicular

Which of the following points satisfies the inequality y > 2x + 1?

• (3, 1)

• (2, 2)

• (0, 0)

• (1, 4)

In the context of the real-world problem, what does 'at least' mean?

• Equal to

• Less than

• Less than or equal to

• Greater than or equal to

If Kathy needs at least 20 eggs, which inequality represents this requirement?

• 3J + 2B ≤ 20

• 3J + 2B > 20

• 3J + 2B < 20

• 3J + 2B ≥ 20