How do you graph #x + y >= 2# and #8x  2y <= 16# and #4y <= 6x + 8#?
Solve system of 3 linear inequalities in 2 variables:
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To graph the inequalities (x + y \geq 2), (8x  2y \leq 16), and (4y \leq 6x + 8):

Graph the boundary lines for each inequality:
 For (x + y \geq 2), graph the line (x + y = 2). This line is solid because it includes the "or equal to" component of the inequality.
 For (8x  2y \leq 16), graph the line (8x  2y = 16). This line is solid because it includes the "or equal to" component of the inequality.
 For (4y \leq 6x + 8), graph the line (4y = 6x + 8). This line is solid because it includes the "or equal to" component of the inequality.

Determine which side of each boundary line to shade by choosing a test point not on the boundary line and substituting its coordinates into the inequality. If the inequality is true, shade the side containing the test point; otherwise, shade the opposite side.

Shade the appropriate regions for each inequality:
 For (x + y \geq 2), shade the region above the line (x + y = 2) because the test point (0,0) satisfies the inequality.
 For (8x  2y \leq 16), shade the region below the line (8x  2y = 16) because the test point (0,0) satisfies the inequality.
 For (4y \leq 6x + 8), shade the region below the line (4y = 6x + 8) because the test point (0,0) satisfies the inequality.

The solution to the system of inequalities is the region where all shaded regions overlap.

Optionally, use a different color or pattern for each shaded region to distinguish them on the graph.
By following these steps, you can graph the inequalities (x + y \geq 2), (8x  2y \leq 16), and (4y \leq 6x + 8) on the coordinate plane.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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