Exam 6: Propositional Logic

?L ? F $\underline { L }$ $\sim \mathrm { F }$

Redbook's increasing its price is a sufficient and necessary condition for People's hiring new writers, provided that Health's expanding coverage implies that Shape changes its cover.

S ? ?R $\frac { \sim \mathrm { R } } { \mathrm { S } }$

Both Baylor and Rice do not raise tuition provided that Smith increases enrollment.

Norwegian improves its entertainment only if both Disney does not promote family cruises and Windstar does not diversify its activities.

Redbook increases circulation or both Glamour hires models and Cosmo raises its price.

?J ? C $\frac { \mathrm { C } \supset \sim \mathrm { T } } { \sim \mathrm { J } \supset \sim \mathrm { T } }$

If either Nationwide or Geico does not open new offices, then Metropolitan does not hire agents.

Statement 1B (R • B) ≡ (B ⊃ ∼ R) -The truth table for Statement 1B has how many lines?

Given the argument: H ⊃ G / G ⊃ H / H ∨ G // G • H This argument is:

B ⊃ ∼Q Q ∼B

?S ? ?T $\frac { \mathrm { T } } { \sim \mathrm { S } }$

Azmara's opening new boutiques is a sufficient and necessary condition for both Norwegian's improving entertainment and Holland's remodeling its staterooms if Princess's dropping its dress codes implies that Celebrity revises its itineraries.

L $\frac { \sim \mathrm { E } \supset \sim \mathrm { L } } { \mathrm { E } }$

If Disney promotes family cruises, then if either Holland remodels its staterooms or Regent enlarges its casinos, then Windstar diversifies its activities.

Statement 1E Given the following statement: (G ≡ ∼ H) ∨ (H ⊃ G) -Statement 1E is:

∼F ∼B ⊃ F B

Given the pair of statements: M ⊃ L and ∼ (L ⊃ M) These statements are:

If rainfall is normal, then grain reserves will not be tapped, because if the harvest is not abundant, then grain reserves will be tapped, and if rainfall is normal, then the harvest will be abundant.

E ? ?A $\frac { B \supset \sim E } { B \supset A }$