Inequalities and Graphing Concepts

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, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≤' represent?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' represent?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you determine if a line in a graph is solid or dashed?

Back

A solid line indicates that the inequality includes equal to (≥ or ≤), while a dashed line indicates it does not (>, <).

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that make the inequality true.

Front

Back

Front

What does it mean if a point lies above the line in a graph of an inequality?

Back

Front

What is the significance of the y-intercept in graphing inequalities?

Back

The y-intercept is the point where the line crosses the y-axis, which helps in plotting the line for the inequality.

Front

How do you check if an ordered pair satisfies an inequality?

Back

Substitute the x and y values of the ordered pair into the inequality and see if the statement is true.

Front

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

Back

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