# How do you graph #x+6y<=-5#?

Whenever your equation contains a greater/lesser than OR equal to sign, you will have to shade whichever regions satisfy the equation on the graph.

To begin, you must get y on a side by itself.

After your points are plotted. Remember, you must check which side of your line to shade. Plug in a point above or below the line and check if the equation is true. If the equation is proven true with the example points, then the side with the correct points is shaded.

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To graph the inequality (x + 6y \leq -5), first graph the boundary line (x + 6y = -5). To do this, find the x-intercept and y-intercept by setting (x = 0) and (y = 0), respectively. Then draw a dashed line through these points.

For the x-intercept:
(0 + 6y = -5)

(y = -\frac{5}{6})

So, the x-intercept is ((-5/6, 0)).

For the y-intercept:
(x + 6 \cdot 0 = -5)

(x = -5)

So, the y-intercept is ((0, -5)).

Plot these points and draw a dashed line passing through them.

Since the inequality is (x + 6y \leq -5), shade the region below the boundary line because it includes points that satisfy the inequality.

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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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