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9.3 "Systems of Inequalities"
Sketch the graph of the inequality.
(ex) 4x + 3y < 12
(ex) y2 ­ x 0
(ex) y ­ x3 < 1
Sketch the graph of the system.
(ex) y + 2 < 2x
y ­ x > 4
(ex) 3x ­ 4y 12
x ­ 2y 2
x 9
y 5
(ex) 2x + 3y 6
0 x 5
0 y 4
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(ex) (ex) x2 + y2 > 1
x2 + y2 < 4
(ex)
(ex) x ­ y2 < 0
x + y2 > 0
Find a system of inequalities whose graph is shown.
(ex)
(ex)
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Ticket Prices. An auditorium contains 600 seats. For an upcoming event, tickets will be priced at $8 for some seats and $5 for others. At least 225 tickets are to be priced at $5, and total sales of at least $3000 are desired. Find and graph a system of inequalities that describes all possibilities for pricing the two types of tickets.
Inventory Levels. The manager of a college bookstore stocks two types of notebooks, the first wholesaling for 55 cents and the second for 85 cents. The maximum amount to be spent is $600, and an inventory of at least 300 of the 85 cent variety and 400 of the 55 cent variety is desired. Find and graph a system of inequalities that describes all possibilities for stocking the two types of notebooks.
(ex) Graph the inequality using your graphing calculator.
e5y ­ e­x x4
(ex) Graph the system of inequalities on your graphing calculator.
x4 + y5 < 2x
ln (x2 + 1) < y3
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