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Using the definition of divides, prove the following stateme…
Using the definition of divides, prove the following statement or provide a counterexample to disprove: “For all a, b, c ∈ ℤ with a ≠ 0, if a|b and a|c then a|(b + c).” Use good proof technique. Note: To avoid the need to type special symbols, use ‘does not equal’ for ≠. Grading rubric: 1 pt. State the definition of divides at the beginning. 1 pt. State any givens and assumptions. 1 pt. Clearly explain your steps and reasoning. 1 pt. State the final conclusion at the end of the proof.
Using the definition of divides, prove the following stateme…
Questions
Using the definitiоn оf divides, prоve the following stаtement or provide а counterexаmple to disprove: “For all a, b, c ∈ ℤ with a ≠ 0, if a|b and a|c then a|(b + c).” Use good proof technique. Note: To avoid the need to type special symbols, use 'does not equal' for ≠. Grading rubric: 1 pt. State the definition of divides at the beginning. 1 pt. State any givens and assumptions. 1 pt. Clearly explain your steps and reasoning. 1 pt. State the final conclusion at the end of the proof.
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