Understanding Inequalities and Their Solutions

The video tutorial explains how to identify solutions to a two-step linear inequality in one variable. It demonstrates the process using different values for the variable 'u', including -4, 8, 9, and -2. For each value, the tutorial shows how to substitute the value into the inequality, perform the necessary calculations, and determine if the result satisfies the inequality. The tutorial also uses a number line to visually represent the solutions and non-solutions.

What is the first step in solving a two-step linear inequality?

• Multiply both sides by a variable

• Substitute a value for the variable

• Add a constant to both sides

• Divide both sides by a constant

When substituting -4 into the inequality, what is the result of -3 * -4?

• -12

• 12

• 0

• -4

After substituting -4, what is the final comparison made?

• 11 <= -25

• 11 < -25

• 11 > -25

• 11 = -25

What is the result of substituting 8 into the inequality?

• -24

• -25

• 24

• 25

Is -25 <= -25 a true statement?

• No

• Sometimes

• Yes

• Depends on the context

What is the result of -3 * 9 when substituting 9 into the inequality?

• 0

• -9

• -27

• 27

After substituting 9, what is the final comparison made?

• -28 <= -25

• -28 = -25

• -28 > -25

• -28 < -25

What is the result of -3 * -2 when substituting -2 into the inequality?

• -2

• -6

• 6

• 0

After substituting -2, what is the final comparison made?

• 5 <= -25

• 5 = -25

• 5 > -25

• 5 < -25

What is the purpose of using a number line in solving inequalities?

• To find the exact solution

• To visualize the relationship between numbers

• To check for errors

• To simplify the inequality