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

Draw the straight line

For making the graph:

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

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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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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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