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Mathematics 12 Online
OpenStudy (anonymous):

Swell

OpenStudy (anonymous):

whats the inequality symbol? is it < or >

OpenStudy (anonymous):

ok an inequality for that is: if adult tickets cost 5 dollars, and child tickets cost 2 dollars, how many of each ticket can be sold to sell $45 worth of tickets since you only have one inequality in 2 variables, there are an infinite amount of answers

jimthompson5910 (jim_thompson5910):

pick any two positive numbers you want

jimthompson5910 (jim_thompson5910):

so let's say x = 2 and y = 4 5x + 2y >= 45 5(2) + 2(4) >= 45 10 + 8 >= 45 18 >= 45 is that last inequality true?

jimthompson5910 (jim_thompson5910):

so (2,4) is NOT a solution to 5x + 2y >= 45

jimthompson5910 (jim_thompson5910):

You need to find an ordered pair that is a solution to 5x + 2y >= 45

jimthompson5910 (jim_thompson5910):

can you graph 5x + 2y >= 45

jimthompson5910 (jim_thompson5910):

ok good, so you'll have a line got through the point (0, 22.5) and it has a slope of -5/2

jimthompson5910 (jim_thompson5910):

go through*

jimthompson5910 (jim_thompson5910):

exactly

jimthompson5910 (jim_thompson5910):

any point above the line will be in the solution region...which is where values of x and y satisfy 5x + 2y >= 45

jimthompson5910 (jim_thompson5910):

for example, the point (10,10) is above this line, so 5x + 2y >= 45 5*10 + 2*10 >= 45 50 + 20 >= 45 70 >= 45 which is true, so (10,10) is a solution

jimthompson5910 (jim_thompson5910):

You have to find an ordered pair that is a solution then describe what that solution means in the current context

jimthompson5910 (jim_thompson5910):

that works

jimthompson5910 (jim_thompson5910):

just add more context (like say what x and y are and such)

jimthompson5910 (jim_thompson5910):

np

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