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Results of a Department of Education survey of SAT test scores in 22 states showed the...

Results of a Department of Education survey of SAT test scores in 22 states showed the following results.

9 states had an average composite test score of at least 1000 during the past 3 yr.
15 states had an increase of at least 10 points in the average composite score during the past 3 yr.
7 states had both an average composite SAT score of at least 1000 and showed an increase of at least 10 points during the past 3 yr.

(a) How many of the 22 states had composite scores of less than 1000 and showed an increase of at least 10 points over the 3-yr period?
  
(b) How many of the 22 states had composite scores of at least 1000 and did not show an increase of at least 10 points over the 3-yr period?

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