Graphing Inequalities Spiral Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you graph the inequality y > 2?

Back

Graph a dashed line at y = 2 and shade above the line.

Front

How do you graph the inequality y ≤ -3x + 4?

Back

Graph a solid line for y = -3x + 4 and shade below the line.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution (≥ or ≤), while a dashed line indicates they are not (> or <).

Front

What does it mean if a system of inequalities has no solution?

Back

It means that there is no set of values that satisfies all inequalities in the system.

Front

What does it mean if a system of inequalities has infinitely many solutions?

Back

It means that there are countless pairs of values that satisfy all inequalities in the system.

Front

How can you tell if an inequality will have a solid line?

Back

If the inequality symbol includes 'or equal to' (≥ or ≤), it will have a solid line.

Front

What is the solution to the system of equations y = 2x + 1 and y = -x + 3?

Back

The solution is the point where the two lines intersect, which is (0, 2).