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How do you graph the inequality #y<=-2x+6#?

Answer 1

See the explanation

To plot the boundary line of the inequality treat it as

#y=-2x+6#

Calculate the #y# values for perhaps 3 different #x's# and plot your line. 3 points are better as it increases your chances of spotting is something is wrong. All the points should line up.

You should end up with a graph like this

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Answer 2

Avery Alexander

To graph the inequality ( y \leq -2x + 6 ), follow these steps:

Plot the y-intercept at ( y = 6 ).
Use the slope ( -2 ) to find a second point. For this, move down 2 units (since the slope is negative) from the y-intercept and move 1 unit to the right.
Draw a dashed line through the two points. Since the inequality is ( \leq ), use a dashed line instead of a solid line.
Shade the region below the dashed line to represent ( y \leq -2x + 6 ).

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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.

How do you graph the inequality #y&lt;=-2x+6#?

How do you graph the inequality #y<=-2x+6#?