TEST: Systems/Linear Inequalities

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than' and indicates that the value on the left side of the inequality is larger than the value on the right side.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than' and indicates that the value on the left side of the inequality is smaller than the value on the right side.

Front

What is the solution set of an inequality?

Back

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

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a boundary line. Then, shade the region that satisfies the inequality.

Front

What is the difference between 'greater than' and 'greater than or equal to'?

Back

'Greater than' (>) does not include the boundary value, while 'greater than or equal to' (≥) includes the boundary value.

Front

What is the significance of the boundary line in a linear inequality?

Back

The boundary line represents the values where the inequality changes from true to false. It is dashed for 'greater than' or 'less than' and solid for 'greater than or equal to' or 'less than or equal to'.

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Back

Front

What does it mean if an inequality has no solution?

Back

An inequality has no solution when there are no values that can satisfy the inequality, often resulting from contradictory statements.

Front

What is a system of inequalities?

Back

A system of inequalities consists of two or more inequalities that are considered simultaneously, and the solution is the region where all inequalities overlap.