Question

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 and a – 7 ≥ – 5


D.


a – 7 ≤ 5 or a – 7 ≥ – 5

Answer 1

Answer:

B.

This is the same as a-7≤5 and 7-a≤5.

So a≤12 and a≥2, which is written 2≤a≤12, so a lies between 2 and 12 or a has the interval [2,12].

Step-by-step explanation: