Solving and Graphing Inequalities in 7th Grade Math

Mr. Chef Check humorously introduces a lesson on solving and graphing inequalities, reviewing previous material and explaining the process of solving inequalities. He provides examples and discusses the importance of graphing solutions. The video covers multiplication and division properties of inequalities, emphasizing the need to flip the inequality sign when dividing by a negative number. The lesson concludes with encouragement to practice and apply the concepts learned.

What is an inequality in mathematical terms?

• A formula used to calculate interest

• A method to solve quadratic equations

• A statement that two values are not equivalent

• A statement that two values are equal

What symbol is used to represent 'greater than or equal to'?

• ≤

• ≥

• >

• <

How do you solve the inequality X + 4 > 10?

• Multiply both sides by 4

• Divide both sides by 4

• Subtract 4 from both sides

• Add 4 to both sides

Which of the following is a correct representation of an inequality?

• 3x ≤ 18

• 3x = 18

• 3x - 18

• 3x + 18

What is the solution set for the inequality 3x ≤ 18?

• x = 6

• x < 6

• x ≥ 6

• x ≤ 6

How do you graph the solution to an inequality on a number line?

• Using a closed circle for included values

• Using an open circle for included values

• Using a square for included values

• Using a triangle for included values

If 5 > X, which of the following is also true?

• X < 5

• X > 5

• X = 5

• X ≥ 5

What is the correct graph symbol for a boundary point that is not part of the solution?

• Triangle

• Open circle

• Closed circle

• Square

What happens to the inequality symbol when you divide both sides by a negative number?

• It remains the same

• It is removed

• It is reversed

• It becomes an equality symbol

When solving the inequality -3y + 2 ≥ 11, what is the final step to isolate y?

• Subtract 2 from both sides

• Add 2 to both sides

• Divide both sides by -3 and reverse the inequality symbol

• Multiply both sides by -3 and keep the inequality symbol