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3х - 4y ≤ -20 helppppp

asked
User Basya
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8.6k points

1 Answer

3 votes

Answer:

I suppose that you want to find the region of solutions.

We start with the inequality:

3х - 4y ≤ -20

To solve this, will be easier to write this as a linear relationship, we can do this as follows:

3x - 4y ≤ -20

-4y ≤ -20 - 3x

y ≥ (-20 - 3x)/-4

(Notice that the "direction" of the sign changes, this is because we divided both sides by a negative number).

y ≥ 5 + (3/4)*x

Now we have the equation of a line, and we know that y will be equal or greater than the line, this means that we need to draw the line and shade all the area above the line, as shown in the graph below:

3х - 4y ≤ -20 helppppp-example-1
answered
User Robert Mearns
by
7.9k points

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