Graphing Inequalities FOR LIFE!!!!

The video tutorial explains how to graph inequalities, highlighting the differences from graphing lines. It covers plotting the Y-intercept and slope, deciding between dotted and solid lines, and determining which side of the line to shade. The instructor uses example problems to demonstrate these concepts, concluding with a final example that includes finding the solution set.

What is the main difference between graphing a line and graphing an inequality?

• Inequalities use only solid lines.

• Inequalities require shading one side of the line.

• Inequalities do not use a y-intercept.

• Inequalities are graphed without a slope.

When graphing a line, what is the first step?

• Determine the slope.

• Find the x-intercept.

• Graph the y-intercept.

• Shade the area above the line.

How do you decide if a line should be dotted or solid?

• Always use a dotted line for inequalities.

• Based on the slope value.

• If the inequality includes 'equal to', use a solid line.

• If the y-intercept is positive, use a solid line.

What is a simple method to determine which side of the line to shade?

• Use the slope to decide.

• Always shade above the line.

• Test a point like (0,0) in the inequality.

• Shade the side with the y-intercept.

In the example problem, what is the y-intercept of the line?

• Zero

• Positive three

• Negative three

• Positive one

What does it mean if the test point (0,0) satisfies the inequality?

• Shade the side opposite to (0,0).

• Shade the side that includes (0,0).

• Do not shade any side.

• Use a solid line.

In the final example, why is the line solid?

• Because the y-intercept is zero.

• Because the inequality is less than.

• Because the slope is positive.

• Because the inequality is greater than or equal to.