Formative 7b

Front

What is a solution to a system of equations?

Back

A solution is a set of values for the variables that makes all equations true. For example, (1, 0) is a solution to the system if it satisfies all equations.

Front

When do you use a solid line when graphing inequalities?

Back

You use a solid line when the inequality symbols are ≤ or ≥, indicating that points on the line are included in the solution set.

Front

What does the inequality y ≤ 3x represent when graphed?

Back

It represents all points below or on the line y = 3x, including the line itself.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary line, while non-strict inequalities (≤, ≥) do include the boundary line.

Front

What does the graph of y > 3x look like?

Back

It is a dashed line representing all points above the line y = 3x, excluding the line itself.

Front

How do you graph the inequality 2x + y ≥ 3?

Back

First, graph the line 2x + y = 3 with a solid line, then shade above the line to represent all solutions.

Front

What is the solution set of a system of inequalities?

Back

The solution set is the region where the shaded areas of all inequalities overlap on the graph.

Front

What does it mean if a point lies on the boundary line of an inequality?

Back

If the point lies on the boundary line and the inequality is non-strict (≤ or ≥), it is included in the solution set.

Front

How do you solve a system of inequalities by graphing?

Back

Graph each inequality on the same coordinate plane, shade the appropriate regions, and identify the overlapping area.