Which conjunction or disjunction is equivalent to [tex]|t - 7| > 12[/tex]?

A. [tex]t - 7 > 12[/tex] or [tex]t - 7 < -12[/tex]
B. [tex]t - 7 < 12[/tex] and [tex]t - 7 > -12[/tex]
C. [tex]t - 7 < 12[/tex] or [tex]t - 7 > -12[/tex]
D. [tex]t - 7 > 12[/tex] and [tex]t - 7 < -12[/tex]

12\ \ \ \Leftrightarrow\ \ \ (t-7>12\ \ \ \ \ or\ \ \ \ \ -(t-7)>12)\ /\cdot (-1)\\\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ t-7>12\ \ \ \ \ or\ \ \ \ \ \ \ \ \ \ \ t-7<-12\\\\Ans.\ A"> ∣ t − 7∣ > 12 ⇔ ( t − 7 > 12 or − ( t − 7 ) > 12 ) / ⋅ ( − 1 ) . t − 7 > 12 or t − 7 < − 12 A n s . A

Answered by kate200468 | 2024-06-10

The inequality 12"> ∣ t − 7∣ > 12 can be rewritten as 12"> t − 7 > 12 or t − 7 < − 12 . Therefore, the correct answer is A. 12"> t − 7 > 12 or t − 7 < − 12 .
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Answered by kate200468 | 2024-12-26