In a certain city, 80 percent of the households have cable television and 60 percent of the households have videocassette recorders. If there are 150,000 households in the city, then the number of households that have both cable television and videocassette recorders could be any number from:A. 30,000 to 90,000 inclusiveB. 30,000 to 120,000 inclusiveC. 60,000 to 90,000 inclusiveD. 60,000 to 120,000 inclusiveE. 90,000 to 120,000 inclusive

There are in consequence a 20% of the 150,000 households that don't have cable television (equivalent to 30,000 households) and a 40% that don't have videocassette recorder (equivalent to 60,000 households).

The maximum number of households that have both cable television and videocassette recorders is 90,000. This could happen if all the households that have videocassette recorders had also cable television.

In that case there would be:

Only videocassette recorder: 0

Only cable television: 30,000

Both cable television and videocassette recorder: 90,000.

Neither cable television nor videocassette recorder: 30,000

In total: 150,000 householders.

The minimum number of households that have both cable television and videocassette recorders is 60,000. This could happen if all the 30,000 households that don't have cable television had contrary videocassette recorders; and in consequence there would be 60,000 households that had both cable television and videocassette recorder.

In that case there would be:

Only videocassette recorder: 30,000

Only cable television: 60,000

Both cable television and videocassette recorder: 60,000

Neither cable television nor videocassette recorder: 0

In total: 150,000 householders.