You want to decorate a party hall with a total of at least 40 red and yellow balloons, with a minimum of 25 yellow balloons. How do you write and graph a system of inequalities to model the situation?

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Answer 1 · 2017-09-05T19:33:42

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Set red balloon count as #r#
Set yellow balloon count as #y#

#color(blue)(Condition(1))#

Minimum of 25 #y -> y>=25#

.............................................................................
#color(blue)(Condition(2))#

At least 40 #r and y#

#r+y>=40#

..........................................................................
#color(blue)(Condition(3))#

Thus the minimum #r->40-25->15color(red)(larr" Corrected "40=25" to "40-25#

So #r>=15#

#color(blue)("The shaded area is the feasible region")#

Tony B