How do you graph the inequality #y≥2x# and #y ≤x+2#?
Draw a solid line for the lones of the two equations, and shade under the area of the graph for the equation
Not much of an explanation here, but draw two graph.
On one graph draw a solid line, not dashed, of gradient 2, rhe goes through the origin, and label it
On your secnd graph, draw a solid line of gradient 1, and a yintercept of 2 and label it
Graphs for reference:
graph{2x [10, 10, 5, 5]}
graph{x+2 [10, 10, 5, 5]}
and solution is given by all points in the shaded region, as it satisfies both the inequalities. The points on the lines are also included.
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To graph the inequalities y ≥ 2x and y ≤ x + 2:

For y ≥ 2x:
 Plot the line y = 2x. It has a slope of 2 and passes through the origin (0,0).
 Since it's a "greater than or equal to" inequality, the region above the line (including the line itself) is shaded.

For y ≤ x + 2:
 Plot the line y = x + 2. It has a slope of 1 and a yintercept of 2.
 Since it's a "less than or equal to" inequality, the region below the line (including the line itself) is shaded.

The solution to the system of inequalities is the region where both shaded areas overlap.

Combine the shaded regions to obtain the graph of the system of inequalities.
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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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