We’re being asked to draw the alkyl halide that will give the given alkene as the only product via E1.
Recall that the E1 reaction occurs in two steps:
(1) carbocation formation – the carbon-leaving group bond is broken
(2) elimination – the base removes a β-hydrogen, forming a double bond.
Since a carbocation is formed during the reaction, the carbocation may rearrange into a more stable one.
Draw the structure of an alkyl halide that could be used in an E1 reaction to give the following alkene as the only alkene product:
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