I'll fan and give medal!
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

I'll fan and give medal!
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

$$\left| a-7 \right|\le 5,-5\le (a-7)\le5$$

anonymous · Answer

I want to know the actual answer

anonymous · Answer

so i think of these things in this way...|dw:1389119949008:dw|

whatever is inside the circle is less than 5 units in distance from the center.  whatever is ouside the circle is more than 5 units in distance and whatever is on the circle is exactly 5 units in distance from the center.

anonymous · Answer

Good way to think of it :D

anonymous · Answer

|dw:1389120131524:dw|

thinking of this as a number line, this means that a-7 has to be less than ?  AND a-7 has to be greater than ?.

make sense?

anonymous · Answer

Okay yes that makes sense. So that means the answer is....?$$Because I Am A Dumb Blonde.$$

anonymous · Answer

|dw:1389120382876:dw|

look at the picture and use your $Dumb\,Blonde\,Brain$