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15. Linear Programming
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Middle Years

15.01 Linear inequalities

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Interactive practice questions

Write down the inequality that describes the points in the shaded region.

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A solid vertical line on a Cartesian plane where the $x$x-axis is labeled 'x' and the $y$y-axis is labeled 'y', both ranging from -10 to 10. The line intercepts the $x$x-axis at $2$2, but this is not explicitly labeled or given. The area to the right of the line is shaded gray.

 

Easy
< 1min

Write the inequality that describes the points in the shaded region.

Easy
< 1min

Is $\left(6,20\right)$(6,20) a solution of $y$y $\ge$≥ $4x+5$4x+5?

Easy
< 1min

Is $\left(3,2\right)$(3,2) a solution of $3x+2y$3x+2y $\ge$≥ $12$12?

Easy
< 1min
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