graph inequalities

Front

What is a graph inequality?

Back

A graph inequality is a visual representation of an inequality on a coordinate plane, showing the set of solutions that satisfy the inequality.

Front

What does an open circle represent in graphing inequalities?

Back

An open circle indicates that the number is not included in the solution set (e.g., x < 6).

Front

What does a closed circle represent in graphing inequalities?

Back

A closed circle indicates that the number is included in the solution set (e.g., x ≤ 6).

Front

How do you graph the inequality x > 3?

Back

Draw a number line, place an open circle at 3, and shade to the right to indicate all numbers greater than 3.

Front

What is the solution to the inequality 2x + 1 < 5?

Back

x < 2.

Front

How do you determine the direction of the inequality when solving?

Back

If you multiply or divide by a negative number, you must reverse the inequality sign.

Front

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

Back

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

Front

What does the inequality x + 4 ≥ 2 represent on a number line?

Back

It represents all numbers x that are greater than or equal to -2.

Front

How do you graph the inequality -x + 3 > 1?

Back

First, solve for x: x < 2. Then, draw a number line, place an open circle at 2, and shade to the left.

Front

What is the solution to the inequality 3x - 7 < 2?

Back

x < 3.