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Find the solution set to the compound inequality:

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Find the solution set to the compound inequality:

(5y+19<74)⋂(−3y+13>40)
asked Oct 2, 2018 in ALGEBRA 1 by anonymous

1 Answer

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( 5y + 19  <  74 )   ⋂   ( −3y + 13  >  40 )

( 5y  <  74 - 19 )   ⋂   ( −3y  >  40 - 13 )

( 5y  <  55 )   ⋂   ( −3y  >  27 )

( y  <  55/5 )   ⋂   ( 3y  <  - 27 )

( y  <  11 )   ⋂   ( y  <  - 27/3 )

( y  <  11 )   ⋂   ( y  <  - 9 )

Intersection means should exist in both of them

Hence, y < - 9

Answer :

Soution is  y  <  - 9.

answered Oct 7, 2018 by homeworkhelp Mentor

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