Graphing Inequalities in Two Variables

Front

What type of line does the inequality x < 2 represent?

Back

Dashed, vertical line.

Front

Is the line for the symbol \( \le \) solid or dashed?

Back

Solid line.

Front

Match the inequality to the graph: \( y \le x + 2 \)

Back

The graph will include the line and shade below it.

Front

What is the definition of slope in terms of rise and run?

Back

Slope is defined as rise/run.

Front

Which of the following is NOT a solution for the inequality y ≤ 5x - 1? (0, -3), (5, 24), (-2, -15), (1, 7)

Back

(1, 7) is NOT a solution.

Front

What does a dashed line indicate in graphing inequalities?

Back

A dashed line indicates that the points on the line are not included in the solution.

Front

What does a solid line indicate in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution.

Front

How do you graph the inequality y > 2x + 1?

Back

Graph the line y = 2x + 1 as a dashed line and shade above it.

Front

What is the slope of the line represented by the equation y = 3x + 4?

Back

The slope is 3.

Front

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

Back

Substitute the point into the inequality and check if it holds true.