C172 PLT ON DEP FROM HHR IS TOLD HE IS IN CLASS B AIRSPACE. THE CHART DOES NOT INDICATE THAT THIS IS SO. RPTR IS TOLD THERE IS A DELEGATION OF AIRSPACE TO LAX. AIRSPACE CHANGE NOT SHOWN ON CHART.

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