Two Step Inequalities 9-9-21 KHS

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 solve the inequality 16 - 4a > 8?

Back

To solve 16 - 4a > 8, first subtract 16 from both sides to get -4a > -8. Then, divide by -4 (remember to flip the inequality sign) to get a < 2.

Front

What is the first step in solving the inequality 7n - 1 > 76?

Back

The first step is to add 1 to both sides, resulting in 7n > 77.

Front

How do you graph the solution of an inequality?

Back

To graph the solution of an inequality, draw a number line, use an open circle for < or > (indicating that the endpoint is not included) and a closed circle for ≤ or ≥ (indicating that the endpoint is included). Shade the region that represents the solution.

Front

What does the solution x > 4 represent on a number line?

Back

The solution x > 4 represents all numbers greater than 4, which is shown by shading to the right of 4 on the number line.

Front

How do you solve the inequality 8 + 4x > 24?

Back

First, subtract 8 from both sides to get 4x > 16. Then, divide by 4 to find x > 4.

Front

What is the solution to the inequality -75 + 50x < 125?

Back

To solve -75 + 50x < 125, add 75 to both sides to get 50x < 200. Then, divide by 50 to find x < 4.

Front

What does the inequality x ≥ 3 mean?

Back

The inequality x ≥ 3 means that x can be 3 or any number greater than 3.

Front

What is the importance of flipping the inequality sign when dividing by a negative number?

Back

Flipping the inequality sign when dividing by a negative number is important because it maintains the true relationship between the two sides of the inequality.

Front

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

Back

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