Linear Inequalities

Front

What type of line is drawn when graphing a linear inequality with ≤ or ≥ signs?

Back

A solid line.

Front

What is the linear inequality represented by the graph that has a horizontal line at y=3, excluding the line itself?

Back

y < 3.

Front

What is the linear inequality represented by the graph that has a slope of -4/5 and a y-intercept of -1, excluding the line itself?

Back

y > -\frac{4}{5}x - 1.

Front

What is the linear inequality represented by the graph that includes the vertical line at x = -2?

Back

x ≥ -2.

Front

What is the linear inequality represented by the graph that has a slope of 3 and passes through the origin, excluding the line itself?

Back

y < 3x.

Front

What is the general form of a linear inequality?

Back

Ax + By < C, Ax + By ≤ C, Ax + By > C, or Ax + By ≥ C.

Front

How do you determine whether to use a solid or dashed line when graphing a linear inequality?

Back

Use a solid line for ≤ or ≥ and a dashed line for < or >.

Front

What does the solution set of a linear inequality represent on a graph?

Back

The region of the graph that satisfies the inequality.

Front

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

Back

It is the point where the line crosses the y-axis, which helps in graphing the inequality.

Front

How can you test a point to determine if it is a solution to a linear inequality?

Back

Substitute the coordinates of the point into the inequality; if the inequality holds true, the point is a solution.