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zloy xaker [14]
4 years ago
11

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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