Solving Linear Inequalities

This video tutorial covers solving one-step inequalities using addition or subtraction. It explains how to isolate variables and graph solutions on a number line. The tutorial provides detailed examples, including both simple and complex problems, and offers tips for understanding inequalities using visual aids like Pac-Man. The video concludes with a summary of key points and encourages viewers to engage with the content through comments and subscriptions.

What is the first step in solving one-step inequalities?

• Subtract a constant from both sides

• Add a constant to both sides

• Graph the solution on a number line

• Isolate the variable

In the inequality x + 8 ≥ 18, what operation is used to isolate x?

• Multiply both sides by 8

• Divide both sides by 8

• Add 8 to both sides

• Subtract 8 from both sides

How is the solution to x + 8 ≥ 18 represented on a number line?

• An open circle at 10 with shading to the right

• A closed circle at 10 with shading to the right

• An open circle at 10 with shading to the left

• A closed circle at 10 with shading to the left

For the inequality x - 1 > 6, what is the value of x?

• x > 5

• x > 6

• x > 7

• x > 8

In the inequality -7 + x ≥ -8, what is the value of x?

• x ≥ -1

• x ≥ 0

• x ≥ 2

• x ≥ 1

How is the solution to x - 1 ≤ 3 represented on a number line?

• An open circle at 4 with shading to the left

• A closed circle at 4 with shading to the left

• An open circle at 4 with shading to the right

• A closed circle at 4 with shading to the right

For the inequality n - 2 ≤ 4, what is the value of n?

• n ≤ 8

• n ≤ 5

• n ≤ 6

• n ≤ 7

In the inequality v + 1 < 4, what is the value of v?

• v < 5

• v < 3

• v < 2

• v < 4

For the inequality -18 + n < -7, what is the value of n?

• n < 9

• n < 10

• n < 11

• n < 12

In the inequality r + 13 < 9, what is the value of r?

• r < -6

• r < -3

• r < -4

• r < -5