Graphing Linear Inequalities

Front

What indicates that an inequality will have a dashed boundary line?

Back

The symbol does not have 'or equal to.'

Front

What indicates that an inequality will have a solid boundary line?

Back

The symbol has 'or equal to.'

Front

What is the general form of a linear inequality?

Back

Front

How do you graph a linear inequality?

Back

1. Graph the boundary line (dashed for < or >, solid for ≤ or ≥). 2. Choose a test point not on the line to determine which side of the line to shade.

Front

What does the shaded region in a graph of a linear inequality represent?

Back

The shaded region represents all the solutions to the inequality.

Front

How can you tell if a point is a solution to a linear inequality?

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, the point is a solution.

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality (< or >) does not include the boundary line, while a non-strict inequality (≤ or ≥) includes the boundary line.

Front

What does the slope of a linear inequality indicate?

Back

The slope indicates the steepness of the line and the direction of the inequality (positive slope means y increases as x increases, negative slope means y decreases as x increases).

Front

How do you determine the boundary line of a linear inequality from its equation?

Back

Convert the inequality to an equation (replace <, >, ≤, or ≥ with =), then graph the resulting line.

Front

What is the significance of the y-intercept in a linear inequality?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.