Graphing a linear inequality with variable on both sides

The video tutorial explains how to solve linear inequalities by converting them into the Y=MX+B format. It covers the steps to isolate Y, graph the inequality using intercepts and slope, and determine whether to use a solid or dashed line. The tutorial also explains how to decide which side of the line to shade by testing a point.

What is the first step in solving a linear inequality in the form of Y = MX + B?

• Multiply both sides by X

• Divide both sides by X

• Subtract X from both sides

• Add X to both sides

When graphing a linear inequality, what does the Y-intercept represent?

• The steepness of the line

• The slope of the line

• The point where the line crosses the X-axis

• The point where the line crosses the Y-axis

How do you determine the slope of a line when graphing a linear inequality?

• By subtracting the X coordinate from the Y coordinate

• By adding the X and Y coordinates

• By dividing the change in Y by the change in X

• By finding the Y-intercept

What type of line should be drawn if the inequality is 'greater than or equal to'?

• Dashed line

• No line

• Solid line

• Dotted line

Why is it important to use a test point when graphing a linear inequality?

• To determine the Y-intercept

• To find the slope of the line

• To calculate the exact coordinates of the line

• To verify which side of the line satisfies the inequality