solving 2 step inequalities

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable, typically involving addition or subtraction followed by multiplication or division.

Front

How do you represent an inequality on a number line?

Back

An inequality is represented on a number line by shading the region that satisfies the inequality and using an open or closed circle to indicate whether the endpoint is included.

Front

What does the symbol '>' mean in an inequality?

Back

'>' means 'greater than', indicating that the value on the left is larger than the value on the right.

Front

What does the symbol '<' mean in an inequality?

Back

'<'' means 'less than', indicating that the value on the left is smaller than the value on the right.

Front

When solving the inequality 8y < -40, what is the first step?

Back

The first step is to divide both sides of the inequality by 8 to isolate y.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

When you multiply or divide both sides of an inequality by a negative number, the inequality sign flips.

Front

How do you solve the inequality 2x - 1 > 5?

Back

To solve 2x - 1 > 5, first add 1 to both sides to get 2x > 6, then divide both sides by 2 to find x > 3.

Front

What is the solution to the inequality (n/3) > -20?

Back

To solve (n/3) > -20, multiply both sides by 3 to get n > -60.

Front

What does it mean if an inequality has no solution?

Back

An inequality has no solution if there is no value that can satisfy the inequality, often represented by a contradiction.

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality (using < or >) does not include the endpoint, while a non-strict inequality (using ≤ or ≥) includes the endpoint.