Linear Inequalities and Graphical Solutions

This video tutorial demonstrates how to solve linear inequalities in one variable by graphing on the coordinate plane. It introduces the intersection method, where the left and right sides of an inequality are graphed as Y1 and Y2. Two examples are provided: one where Y1 is less than Y2, and another where Y1 is greater than or equal to Y2. The video explains how to find the solution using the point of intersection and express it in three ways: as an inequality, on a number line, and using interval notation.

What method is used in the video to solve linear inequalities graphically?

• Graphical Method

• Substitution Method

• Elimination Method

• Intersection Method

In the first example, what is the equation for Y1?

• Y1 = 5X - 2

• Y1 = 2X - 3

• Y1 = X + 5

• Y1 = 3X + 2

What is the point of intersection in the first example?

• (2, 3)

• (3, 4)

• (4, 5)

• (5, 4)

How is the solution of the first example expressed on a number line?

• Closed point on 4 with arrow to the left

• Open point on 4 with arrow to the right

• Closed point on 4 with arrow to the right

• Open point on 4 with arrow to the left

What is the interval notation for the solution of the first example?

• [4, ∞]

• (-∞, 4)

• (-∞, 4]

• [4, ∞)

In the second example, what is the equation for Y2?

• Y2 = 5X - 12

• Y2 = 12 - 5X

• Y2 = 2X + 5

• Y2 = 5 - 12X

What is the point of intersection in the second example?

• (2, 3)

• (3, 3)

• (2.2, 2)

• (2, 2)

How is the solution of the second example expressed on a number line?

• Open point on 2 with arrow to the right

• Closed point on 2 with arrow to the left

• Closed point on 2 with arrow to the right

• Open point on 2 with arrow to the left

What is the interval notation for the solution of the second example?

• [2, ∞)

• (2, ∞)

• (-∞, 2)

• (-∞, 2]

Which of the following is NOT a way to express the solution of an inequality?

• Using a graph on the number line

• Using an inequality

• Using interval notation

• Using a pie chart