Understanding Multi-Step Inequalities

This video tutorial on multi-step inequalities covers the process of solving inequalities, focusing on avoiding negative numbers by subtracting smaller variables from larger ones. It demonstrates solving an inequality step-by-step, including isolating the variable and graphing the solution on a number line. Key points include flipping the inequality sign when dividing by a negative number and ensuring the correct representation on a number line.

What must you do when dividing both sides of an inequality by a negative number?

• Multiply both sides by a positive number

• Add a constant to both sides

• Flip the inequality sign

• Keep the inequality sign the same

How can you avoid dealing with negative numbers in multi-step inequalities?

• Multiply both sides by a negative number

• Subtract the smaller variable from the larger one

• Divide both sides by a positive number

• Add the smaller variable to the larger one

What is the first step in solving the inequality 10x - 2 > 4x + 2?

• Subtract 4x from both sides

• Divide both sides by 2

• Subtract 10x from both sides

• Add 2 to both sides

After moving the constant to the other side, what is the next step in solving the inequality?

• Add the constant back to the original side

• Multiply both sides by a negative number

• Isolate the variable by dividing both sides by its coefficient

• Flip the inequality sign

When dividing both sides of an inequality by a positive number, what happens to the inequality sign?

• It flips

• It is removed

• It becomes an equal sign

• It remains the same

How is the solution represented on a number line if the inequality is strict (not equal to)?

• With a closed dot

• With an open dot

• With a shaded line

• With a dashed line

What does the solution x > -1 mean in terms of number line representation?

• All numbers less than -1

• All numbers less than or equal to -1

• All numbers greater than -1

• All numbers equal to -1

Which of the following is a correct check for the solution x > -1?

• 0 is equal to -1

• 0 is less than or equal to -1

• 0 is less than -1

• 0 is greater than -1