Solving Multistep Inequalities

What is an inequality?

• A type of equation

• A mathematical operation

• A comparison of two expressions

• A single value

What makes a solution to an inequality true?

• When the variable makes the statement true

• When the variable is positive

• When the variable is negative

• When the variable is zero

What is set builder notation?

• A type of mathematical operation

• A way to write inequalities formally

• A method to solve equations

• A way to combine variables

Why is set builder notation important in higher-level math?

• It simplifies the equations

• It formalizes the rules and proves solutions

• It eliminates the need for variables

• It makes calculations faster

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

• Distributive property

• Combining like terms

• Solving two-step equations

• Moving variables

What must you do if you divide both sides of an inequality by a negative number?

• Flip the inequality sign

• Add the same number to both sides

• Multiply both sides by a positive number

• Subtract the same number from both sides

In the example problem, what is the result of distributing 5 * -3?

• -5

• 15

• -15

• 5

What is the final step in solving a multi-step inequality?

• Graphing the solution

• Combining like terms

• Distributing

• Moving variables

What type of circle is used on the number line for an 'equal to' inequality?

• Closed circle

• Open circle

• Half-filled circle

• No circle

Where can students find the paper for their work?

• In their textbooks

• On the teacher's desk

• In the black folder on the board

• Under their desks