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Identify the correct step to prove that if a is an integer other than O, then a divides O alosince o = a . a
Identify the correct step to prove that if a is an integer other than O, then a divides O alosince o = a . a al O since O = a / O Oaiosince 0 =aa OaIOsince 0240 Oal O since a-O/ a Identify the correct step to prove that if a is an integer other than O, then 1 divides a 1l a since 1-1a O 11 a since 1-1.1 llasince a-1.a O 1l a since1-1.a Ollasince 1 = aa Click and drag the given steps (in the right) to their corresponding step names (in the left) to prove that if a| b and b c, then a | c. Step 1 By definition of divisibility, ac(st), with ts being an integer, implies ajc. We substitute the equation bat into c-bs and get c ats. Step 2 We substitute the equation bcs into a-bt and get a = cst. Suppose alb and blc. By definition of divisibility alo means that b at for some integer t, and b|c means that c = bs for some integers. Step 3 Suppose alb and blc. By definition of divisibility alo means that a = bt for some integer t, and b|c means that b-cs for some integer s. By definition of divisibility, ca(ts), with ts being an integer, implies ajc
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