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Stage 4 - Stage 5

Problems with Systems of Inequalities in 2 Variables

Interactive practice questions

An airline is checking passengers into two flights, A and B, simultaneously. Due to passenger numbers, there must be at least $10$10 staff at check-in for flight A and at least $7$7 staff at check-in for flight B. Since there must be staff on hand for other services, the airline can only allocate at most $23$23 staff for check-in of both flights.


Let $x$x and $y$y represent the number of staff attending check-in of flights A and B respectively.

Fill in the gaps to complete the system of inequalities.

$x$x $\ge$ $\editable{}$

$y$y $\ge$ $\editable{}$

$x+y$x+y $\le$ $\editable{}$


Graph the system of inequalities.

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