Systems of Inequalities

Front

What type of line is used for inequalities with < or >?

Back

Dotted line

Front

What type of line is used for inequalities with ≤ or ≥?

Back

Solid line

Front

What does the inequality y < 2x + 3 represent graphically?

Back

The region below the line y = 2x + 3, not including the line itself.

Front

How do you graph the inequality y ≥ -x + 1?

Back

Graph the line y = -x + 1 as a solid line and shade above it.

Front

What is the solution set of the inequality 3x - 4 < 5?

Back

x < 3.

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 graphical representation of the system of inequalities y < 2x + 1 and y ≥ -x + 3?

Back

The overlapping shaded region of both inequalities.

Front

What does the symbol '≥' indicate in an inequality?

Back

It indicates that the value is greater than or equal to.

Front

What is the first step in solving a system of inequalities?

Back

Graph each inequality on the same coordinate plane.

Front

How do you represent the solution to a system of inequalities?

Back

By shading the region where the solutions overlap.