Understanding Inequalities and Set Notation

At least one condition must be false.

Only one condition needs to be true.

Both conditions must be true simultaneously.

Neither condition needs to be true.

⊆

∪

∩

U

Both conditions must be false.

Both conditions must be true.

At least one condition must be true.

Neither condition can be true.

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∪

∩

U

By adding the inequalities.

By multiplying the inequalities.

By subtracting the inequalities.

By converting the inequality to an equality.

A point

A diagonal line

A vertical line

A horizontal line

To indicate they are not part of the solution.

To show they are part of the solution.

To make the graph look better.

To confuse the viewer.

The point is irrelevant.

The point is optional.

The point is included.

The point is not included.

Assume the point is excluded.

Test the point with both inequalities.

Assume the point is included.

Ignore the point.

When only one boundary is inclusive.

When both boundaries are inclusive.

When the point is outside the boundaries.

When neither boundary is inclusive.