Prove or Disprove: for All Integers $$a , b , c , d \text {, if } a \mid b \text { and } c \mid d \text {, then } ( a + c ) \mid ( b + d ) \text {. }$$

question 57

True/False

Prove or disprove: For all integers $$a , b , c , d \text {, if } a \mid b \text { and } c \mid d \text {, then } ( a + c ) \mid ( b + d ) \text {. }$$

Understand the application of logical patterns in various contexts.

Appreciate the historical and philosophical significance of logic.

Understand and apply the concept of applying a generalization in logical reasoning.

Recognize and explain the fallacy of false composition.

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