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OpenStudy (anonymous):

Linear inequalities question?

OpenStudy (anonymous):

Here is the problem

jimthompson5910 (jim_thompson5910):

x = # of bears y = # of dogs

jimthompson5910 (jim_thompson5910):

bears cost $6 each, so x of them cost 6x dollars dogs cost $4 each, so y of them cost 4y dollars

jimthompson5910 (jim_thompson5910):

all together, x bears and y dogs cost a total of 6x+4y dollars

jimthompson5910 (jim_thompson5910):

what's next?

OpenStudy (anonymous):

I got up to there

jimthompson5910 (jim_thompson5910):

if c is the total cost, then c must be between 80 and 170, so 80 <= c <= 170

OpenStudy (anonymous):

it says it needs to be not more then $170 but at least $80

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

the 2nd equations would have to be 6x + 4y = c

jimthompson5910 (jim_thompson5910):

the total cost is c = 6x+4y

jimthompson5910 (jim_thompson5910):

so... 80 <= c <= 170 80 <= 6x+4y <= 170

jimthompson5910 (jim_thompson5910):

80 <= 6x+4y <= 170 80 <= 2(3x+2y) <= 170 80/2 <= 2(3x+2y)/2 <= 170/2 40 <= 3x+2y <= 85

OpenStudy (anonymous):

Okay I got it thanks!!

jimthompson5910 (jim_thompson5910):

yw

OpenStudy (anonymous):

would I do the same thing for this problem

jimthompson5910 (jim_thompson5910):

oh wait, they want 2 inequalities, so you have to break 80 <= 6x+4y <= 170 up into 6x+4y >= 80 and 6x+4y <= 170

jimthompson5910 (jim_thompson5910):

yes you would

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