Retest Assignment for Inequalities/Sys. of Ineq.

Front

What is a solution to a system of inequalities?

Back

A solution to a system of inequalities is a set of values that satisfies all inequalities in the system simultaneously.

Front

What does it mean if a point is not a solution to a system of inequalities?

Back

It means that the point does not satisfy at least one of the inequalities in the system.

Front

What type of line is used to represent inequalities with < or >?

Back

A dashed line is used to represent inequalities with < or >.

Front

What type of line is used to represent inequalities with ≤ or ≥?

Back

A solid line is used to represent inequalities with ≤ or ≥.

Front

How do you determine if a point is a solution to a given inequality?

Back

Substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.

Front

What is the graphical representation of the inequality y > -1/5x - 1/2?

Back

The area above the dashed line representing y = -1/5x - 1/2 is the solution region.

Front

What is the graphical representation of the inequality y ≤ -2x - 4?

Back

The area below the solid line representing y = -2x - 4 is the solution region.

Front

What does the term 'system of inequalities' refer to?

Back

A system of inequalities is a set of two or more inequalities with the same variables.

Front

What is the significance of the boundary line in an inequality?

Back

The boundary line helps to determine the solution region; it can be solid or dashed depending on whether the inequality is inclusive or exclusive.

Front

If a point (2, 3) is tested in the inequality y < 4x + 3, what does it indicate?

Back

If substituting (2, 3) into the inequality results in a true statement, then (2, 3) is a solution.