4.4 to 4.5 Test Review

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 in inequalities?

Back

The symbol '>' means 'greater than'. For example, in the inequality y > x + 1, y is greater than x + 1.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'. For example, in the inequality y < 2x + 2, y is less than 2x + 2.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, y ≥ -3x + 1 means y is either greater than or equal to -3x + 1.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 2x + 2 means y is either less than or equal to 2x + 2.

Front

How do you determine if an ordered pair is a solution to an inequality?

Back

To determine if an ordered pair (x, y) is a solution to an inequality, substitute x into the inequality and check if the resulting statement is true.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all ordered pairs (x, y) that satisfy the inequality.

Front

What is a graph of an inequality?

Back

The graph of an inequality shows all the points (x, y) that satisfy the inequality. It often includes a boundary line and shading to indicate the solution set.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution (≥ or ≤), while a dashed line indicates that points on the line are not included (> or <).

Front

How do you graph the inequality y > x + 1?

Back

To graph y > x + 1, first graph the line y = x + 1 as a dashed line, then shade the area above the line.