How do you graph the inequality #x + 2y ≤ 4#?

Answer 1

Draw the straight line #x+2y=4# that passes through (0, 2) and (4, 0). Shade the region below this line, in the negative y-direction, Enter therein #x+2y<=4#. The line is included for the inequality..

The equivalent inequality is #y<=2-x/2#.
In the region under this line in the negative y-direction, y of any point (x, y) would satisfy #y<2-x/2tox+2y<4#.

For making the graph:

Draw the straight line #x+2y=4# that passes through (0, 2) and (4, 0).

Shade the region below this line, in the negative y-direction,

Enter therein #x+2y<=4#. The line is included for the inequality..
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Answer 2

To graph the inequality (x + 2y \leq 4), you first graph the boundary line (x + 2y = 4). To do this, you rearrange the equation into slope-intercept form to find the intercepts. Then, you plot these intercepts and draw a line through them. Since the inequality is less than or equal to, you include the points on the line. Finally, you determine which side of the line to shade by testing a point not on the line. If it satisfies the inequality, shade the region containing that point; otherwise, shade the opposite region.

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Answer from HIX Tutor

When evaluating a one-sided 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 one-sided 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 one-sided 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 one-sided 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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