⁦Statements, and, or, not and if⁩…then

⁦Decide which sentences are statements, use and, or and not correctly, test a promise⁩ "if … then …" ⁦and find the contrapositive⁩.

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الدليل

⁦A statement is a sentence that is either true or false⁩. "⁦7 is even⁩" ⁦is a statement (a false one)⁩; "⁦x + 2 = 5⁩" and "⁦Close the door⁩" ⁦are not⁩.

"⁦p and q⁩" ⁦is true only when both parts are true⁩. "⁦p or q⁩" ⁦is true when at least one part is true⁩. "⁦not p⁩" ⁦turns true into false⁩.

"⁦If p then q⁩" ⁦is false only when p is true and q is false⁩. ⁦Its contrapositive⁩ "⁦if not q then not p⁩" ⁦always says the same thing⁩. ⁦Its converse⁩ "⁦if q then p⁩" ⁦and inverse⁩ "⁦if not p then not q⁩" ⁦may not⁩.