Conjectures, Compounds, and Conditionals

T/F; provide a counterexample if false.

The difference of two Even numbers is always an odd number.

• True

• False

T/F; provide a counterexample if false.

Two right angles are always complementary.

• True

• False

Tags

CCSS.7.G.B.5

T/F; Provide a counterexample if false.

All birds can fly.

• True

• False

Conjunction

• $p\wedge q$

• $p\rightarrow q$

• $p\vee q$

• $q\rightarrow p$

Disjunction

• $p\wedge q$

• $p\rightarrow\sim q$

• $p\vee q$

• $\sim p\rightarrow\sim q$

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7

Conditional

• $p\rightarrow q$

• $q\leftarrow p$

• $p\leftrightarrow q$

• $p\wedge q$

Tags

CCSS.HSS.CP.A.3

Inverse

• $\sim p\rightarrow q$

• $p\wedge\sim q$

• $\sim p\rightarrow\sim q$

• $\sim p\wedge\sim q$

Converse

• $q\rightarrow p$

• $p\leftarrow q$

• $\sim q\rightarrow\sim p$

• $q\vee p$

Contrapositive

• $\sim p\rightarrow\sim q$

• $\sim q\wedge p$

• $\sim p\leftrightarrow q$

• $\sim q\rightarrow\sim p$

Bi-Conditional

• $p\leftrightarrow q$

• $\sim p\leftrightarrow\sim q$

• $q\leftrightarrow p$

• $q\vee p$