Which conjunction or disjunction is equivalent to |t – 7| > 12?
A.
t – 7 > 12 or t – 7 < –12
B.
t – 7 < 12 and t – 7 > –12
C.
t – 7 < 12 or t – 7 > –12
D.
t – 7 > 12 and t – 7 < –12



Answer :

[tex] |t-7| > 12\ \ \ \Leftrightarrow\ \ \ (t-7>12\ \ \ \ \ or\ \ \ \ \ -(t-7)>12)\ /\cdot (-1)\\\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ t-7>12\ \ \ \ \ or\ \ \ \ \ \ \ \ \ \ \ t-7<-12\\\\Ans.\ A[/tex]