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4 years ago

What is the solution set of the system of inequalities 5x<8+4y and 2y≤6?

Mathematics

1 answer:

Nitella [24]4 years ago

8 0

Answer:

<h2>See the explanation and the image.</h2>

Step-by-step explanation:

The inequality $2y \leq 6$ means $y \leq 3$ .

y = 0, satisfies the above inequality, so the arrows will be towards the x axis.

Now, we need to draw 5x < 8 + 4y.

First, lets draw the equation of 5x = 8 + 4y.

y = 1 gives x = 2.4 & y = 0 gives x = 1.6.

Hence, the above equation passes through (2.4, 1) and (1.6, 0).

The point (0, 0) satisfies the inequality 5x < 8 + 4y. Hence, the arrows will be towards the origin.

The solution will be the area of APQ except any point on PQ, as PQ is nothing but the line 5x = 8 + 4y.

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Answer:

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Step-by-step explanation:

Given function.

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Step 1:

Replace $f(x)$ with $y$ in the function.

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Simplifying fractions by dividing the numerator and denominator by their GCF.

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3 years ago

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Answer:

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