Graphing One-Step Linear Inequalities

The video tutorial covers graphing inequalities, starting with an introduction to inequalities and a fun fact about puffins. It then provides a detailed walkthrough of solving and graphing two examples of linear inequalities. The first example involves solving for y and graphing the inequality using points, while the second example uses the slope and y-intercept for graphing. The video concludes with practice questions for viewers to test their understanding.

What do inequalities help to compare?

• Values

• Textures

• Colors

• Shapes

What is the first step in graphing a linear inequality?

• Solve for x

• Shade the graph

• Determine if the line is dotted or solid

• Pick two points

What is the y-intercept of the equation y = 2x - 4?

• (0, -4)

• (-4, 0)

• (2, 0)

• (0, 2)

Why do we use a solid line for the inequality y ≤ 2x - 4?

• Because the inequality does not include 'or equal to'

• Because the inequality is greater than

• Because the inequality is less than

• Because the inequality includes 'or equal to'

What is the result of substituting (0, 0) into the inequality y - 2x ≤ -4?

• 0 ≤ -4, which is true

• 0 ≤ -4, which is false

• 0 ≥ -4, which is true

• 0 ≥ -4, which is false

What is the first step in solving the inequality -2y < 3x - 2?

• Add 2y to both sides

• Multiply each term by -2

• Subtract 3x from both sides

• Divide each term by -2

What happens to the inequality sign when you divide by a negative number?

• It disappears

• It stays the same

• It becomes an equal sign

• It flips

What is the slope of the line y = -3/2x + 1?

• -1

• 1

• -3/2

• 3/2

Why do we use a dotted line for the inequality y > -3/2x + 1?

• Because the inequality includes 'or equal to'

• Because the inequality is less than

• Because the inequality does not include 'or equal to'

• Because the inequality is greater than

What is the result of substituting (4, 2) into the inequality -2y < 3x - 2?

• 4 < 10, which is true

• -4 < 10, which is false

• -4 < 10, which is true

• 4 < 10, which is false