No corporations that defraud the government are organizations the government should deal with.
Some defense contractors are not organizations the government should deal with.
Therefore, some defense contractors are not corporations that defraud the government.

Use Venn diagrams to determine whether the following standard-form categorical syllogisms are valid from the Boolean standpoint, valid from the Aristotelian standpoint, or invalid. Then, identify the mood and figure, and cross-check your answers with the tables of valid syllogisms found in Section 5.1.

Tables From Section 5.1: