Lesson 3.3 Task #4

Front

What is the solution to the inequality z ≤ 9?

Back

The solution set includes all values of z that are less than or equal to 9.

Front

How do you solve the inequality -4 + y < -8?

Back

To solve, add 4 to both sides: y < -4.

Front

What is the solution to the inequality 5x > 45?

Back

Divide both sides by 5: x > 9.

Front

When solving the inequality -3x ≥ 12, do you need to flip the sign?

Back

Yes, you need to flip the sign when dividing by a negative number.

Front

How do you solve the inequality -5m < 10?

Back

Divide both sides by -5 and flip the inequality sign: m > -2.

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary value, while non-strict inequalities (≤, ≥) do include the boundary value.

Front

How do you graph the inequality x > 9 on a number line?

Back

Draw an open circle at 9 and shade to the right to indicate all values greater than 9.

Front

What is the solution set for the inequality y < -4?

Back

The solution set includes all values of y that are less than -4.