Systems of Inequalities

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables that are graphed on the same coordinate plane.

Front

What does the symbol '>' represent in inequalities?

Back

It indicates that one value is greater than another, not including the boundary.

Front

What does the symbol '≥' represent in inequalities?

Back

It indicates that one value is greater than or equal to another, including the boundary.

Front

How do you determine which side of the boundary line to shade in a graph of inequalities?

Back

You test a point not on the line (usually (0,0)) to see if it satisfies the inequality; if it does, shade that side.

Front

What is the boundary line of the inequality y > -x - 1?

Back

The boundary line is y = -x - 1, which is dashed because the inequality is 'greater than' and not 'greater than or equal to'.

Front

What does shading above the line indicate in a graph of inequalities?

Back

It indicates that the solutions to the inequality are all the points above the line.

Front

What does shading below the line indicate in a graph of inequalities?

Back

It indicates that the solutions to the inequality are all the points below the line.

Front

Which of the following points is a solution to the system: y > -x - 1 and y ≥ x + 4? (0, 6), (-3, 5), (1, 0), (-4, 3)

Back

(1, 0) is a solution.

Front

Which of the following points is NOT a solution to the system: y > -x - 1 and y ≥ x + 4? (0, -1), (0, 3), (4, 0), (6, -2)

Back

(0, -1) is not a solution.

Front

What is the graphical representation of the inequality y < x + 4?

Back

It is a dashed line with shading below the line.