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Tanzania [10]
2 years ago
11

Graph the solution set of this inequality 3x-2y <_ 12

Mathematics
1 answer:
nadezda [96]2 years ago
8 0

The graph of the solution set for the inequality can be seen below.

<h3>How to graph the solution set?</h3>

Here we have the inequality:

3x - 2y < -12

If we isolate y, we get:

3x + 12 < 2y

(3x + 12)/2 < y

(3/2)x + 6 < y

Now, we just need to graph the line y = (3/2)x + 6 with a dashed line (because the points on the line are not solutions).

And then we need to shade the region above the line.

The graph of the solution set can be seen below.

If you want to learn more about inequalities:

brainly.com/question/18881247

#SPJ1

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Answer:

Domain: all real numbers

Range: all real numbers

Step-by-step explanation:

The domain is all x values, and the range is all y values.

<u><em>Domain:</em></u>

The domain is all real numbers except where the slope is undefined (a vertical line). In this case, no number makes the expression undefined, so the domain is:

all real numbers

<u><em>Interval notation:</em></u><em>  </em>(-∞,∞)

all negative numbers and positive numbers (all real numbers)

<em><u>Set-Builder Notation:</u></em> {x | x ∈ R }

<em><u>Range:</u></em>

The range is the set of all valid values. Graph the line and check. Since all values of y are valid, the range is:

all real numbers

<u><em>Interval notation:</em></u><em>  </em>(-∞,∞)

all negative numbers and positive numbers (all real numbers)

<em><u>Set-Builder Notation:</u></em> {x | x ∈ R }

:Done

3 0
3 years ago
Consider a graph of the equation y = x + 6. What is the y-intercept?
Ratling [72]
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as u can see, the number in the b position, ur y int, is 6 <==
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Hope this helps!
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