Question

how would i solve --->|2x-1|-5>6 and once solved how would i convert answer in to interval form?

Answer 1

\[|2x-1|-5>6 \rightarrow |2x-1|>6+5 \rightarrow |2x-1|>11 \rightarrow 2x-1> \pm11\]

i.e. 2x-1> 11 or 2x-1> -11
i.e. 2x> 11+1 or 2x> 1-11
i.e. 2x> 12 or 2x> -10
i.e. x> 12/2 or x> -10/2
i.e. x> 6 or x> -5
\[-5<x >6\]

Answer 2

|2x-1|>11
-11>2x-1>12
-5>x>6

Answer 3

thanks guys! :)

Answer 4

be careful, "dpasingh"'s answer is wrong.