Union
$$A \cup B =$$
{ care, competence, fidelity, hope, igneous, love, metamorphic, purpose, sedimentary, will, wisdom }
Symmetric Difference
$$A \ominus B =$$
{ care, competence, fidelity, hope, igneous, love, metamorphic, purpose, sedimentary, will, wisdom }
Difference
$$A - B =$$
{ care, competence, fidelity, hope, love, purpose, will, wisdom }
Cartesian Product
$$A \times B =$$
{ (care, igneous),
(care, metamorphic),
(care, sedimentary),
(competence, igneous),
(competence, metamorphic),
(competence, sedimentary),
(fidelity, igneous),
(fidelity, metamorphic),
(fidelity, sedimentary),
(hope, igneous),
(hope, metamorphic),
(hope, sedimentary),
(love, igneous),
(love, metamorphic),
(love, sedimentary),
(purpose, igneous),
(purpose, metamorphic),
(purpose, sedimentary),
(will, igneous),
(will, metamorphic),
(will, sedimentary),
(wisdom, igneous),
(wisdom, metamorphic),
(wisdom, sedimentary) }