How to graph a linear inequality when you have multiple fractions

The video tutorial explains how to graph a linear inequality with fractions. It begins by addressing the common fear of fractions and demonstrates how to find the least common denominator (LCD) to eliminate them. The instructor then rewrites the inequality in slope-intercept form and explains how to graph it by identifying the slope and y-intercept. The tutorial concludes with testing points to determine the solution area of the inequality.

What is the first step in dealing with fractions in a linear inequality?

• Convert them to decimals

• Add them to both sides

• Find the least common denominator

• Ignore them

After finding the least common denominator, what should you do next?

• Divide each term by the LCD

• Subtract the LCD from each term

• Multiply each term by the LCD

• Add the LCD to each term

How do you rewrite an inequality in slope-intercept form?

• By multiplying both sides by x

• By setting the equation to zero

• By isolating y on one side

• By isolating x on one side

What does the slope represent in the context of a graph?

• The ratio of change in y to change in x

• The x-intercept

• The y-intercept

• The midpoint of the line

How can you determine if the line is part of the solution in a graph?

• If the inequality sign is 'not equal to'

• If the inequality sign is 'less than'

• If the inequality sign is 'greater than'

• If the inequality sign includes 'equal to'

What is the purpose of testing a point like the origin in a graph?

• To find the slope

• To determine the y-intercept

• To check which side of the line is the solution

• To calculate the x-intercept

Why is the line solid when graphing the inequality in this example?

• Because the y-intercept is positive

• Because the inequality is strict

• Because the inequality includes 'equal to'

• Because the slope is positive