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India
Class XI

Creating Inequalities with 2 Variables

Interactive practice questions

In an office building, an elevator has a maximum carrying capacity of $12750$12750 pounds. This is based on an average female's weight of $150$150 pounds and an average male's weight of $170$170 pounds.

Let $x$x represent the number of women who enter the elevator.

Let $y$y represent the number of men who enter the elevator.

Write an inequality to represent the number of men and women who can enter the elevator at one time, with $y$y as the subject.

Easy
3min

In the new basketball season, Neil is looking to beat his personal best of scoring $90$90 points in total for the whole season (this does not include points from fouls).

Easy
2min

Rochelle is being careful with her spending so she can later purchase a house. She has allocated no more than $\$855$$855 each month for both travel expenses and eating out. On average, every time she eats out it costs $\$19$$19, and every travel journey costs $\$9$$9.

Easy
3min

Roxanne has set aside $\$14.00$$14.00 in her shopping budget for fruit this week. Currently, oranges are on sale for $\$1.40$$1.40 each, while apples are on sale for $\$1.75$$1.75 each.

Easy
6min
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Outcomes

11.A.LE.1

Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Solution of system of linear inequalities in two variables – graphically.

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