For each of the following arguments,
a. Translate the argument into standard form.
b. Name the mood and figure of its standard-form translation.
c. Test its validity using a Venn diagram. If it is valid, give its traditional name.
d. If it is invalid, name the fallacy it commits.

. . . It is obvious that irrationals are uninteresting to engineers, since they are concerned only with approximations, and all approximations are rational.
—G. H. Hardy, A Mathematician’s Apology (Cambridge: Cambridge University Press, 1940)