Review Problems — 6.5e

Symbolize the following.

universe of discourse: all people
Cx: x is a U.S. citizen
Dx: x lives next door to me.
Lx: x is a legal voter

b: G.W. Bush

A: All's well.

  1. Bush is a legal voter.
  2. Bush is a legal voter only if all's well.
  3. No one is both a U.S. citizen and lives next door to me.
  4. No legal voters live next door to me.
  5. All U.S. citizens are legal voters.
  6. If someone is a legal voter, then he or she is U.S. citizen.
  7. Bush is a legal voter unless he's not a citizen.
  8. Bush is neither a citizen nor does he live next door to me.
  9. Some legal voters are not U.S. citizens.
  10. Not all U.S. citizens are legal voters.
  11. Any legal voter living next door to me is a U.S. citizen. (hint)
  12. If anyone living next door to me is a a legal voter then someone living next door to me is a U.S. citizen. (hint)