Systems of Inequalities

Front

If the inequality symbol is \( \le \) or \( \ge \), the line will be ___________.

Back

solid

Front

What is the graphical representation of the inequality \( y > 2x - 4 \)?

Back

The area above the line \( y = 2x - 4 \) excluding the line itself.

Front

What does the inequality \( y < 2 \) represent on a graph?

Back

The area below the horizontal line \( y = 2 \) excluding the line itself.

Front

Which inequality represents the area above the line \( y = -x - 1 \)?

Back

\( y \geq -x - 1 \)

Front

What does the inequality \( y < -2x + 1 \) indicate on a graph?

Back

The area below the line \( y = -2x + 1 \) excluding the line itself.

Front

What type of line is represented by the inequality \( y \leq 2/5x + 1 \)?

Back

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

Front

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

Back

Substitute the point into each inequality; if it satisfies all, it is a solution.

Front

What is the solution set of the system \( y < 2x - 4 \) and \( y < 2 \)?

Back

The area below both lines, where they intersect.

Front

What does the symbol \( \geq \) indicate in an inequality?

Back

The line is solid, and points on the line are included in the solution.

Front

How do you graph the inequality \( y > 2x - 4 \)?

Back

Draw a dotted line for \( y = 2x - 4 \) and shade above the line.