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Which conjunction or disjunction is equivalent to the open sentence |a – 7| ≤ 5?

A.
a – 7 ≤ 5 or a – 7 ≥ – 5

B.
a – 7 ≥ 5 and a – 7 ≤ – 5

C.
a – 7 ≥ 5 or a – 7 ≤ – 5

D.
a – 7 ≤ 5 and a – 7 ≥ – 5

Question

First person 2 give me the  right answer gets a badge and Ill fan them

Which conjunction or disjunction is equivalent to the open sentence |a – 7| ≤  5?
 
 A.
a – 7 ≤ 5 or a – 7 ≥ – 5
 
 B.
a – 7 ≥ 5 and a – 7 ≤ – 5
 
 C.
a – 7 ≥ 5 or a – 7 ≤ – 5
 
 D.
a – 7 ≤ 5 and a – 7 ≥ – 5

anonymous · Answer

Recall that $|a|\leq b \implies -b \leq a\leq b$.  Hence $|a-7|\leq 5 \implies -5\leq a-7\leq 5$  How would you write this as a conjunction/disjunction?

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