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avanturin [10]
3 years ago
15

Given the system of inequalities:

Mathematics
2 answers:
Margaret [11]3 years ago
8 0
Answer:
First inequality: y > \frac{4}{5} x - \frac{1}{5}
Second inequality: y < 3 + x

Explanation:
The inequality in slope-intercept form has the following general formula:
y < mx + c or y > mx + c (according to the given sign)
where m is the slope and c is the y-intercept

This means that to get any inequality in slope-intercept form, we will have to isolate the y on one side of the inequality.

First given inequality:
4x - 5y < 1
4x - 5y + 5y < 1 + 5y
1 + 5y > 4x
1 + 5y - 1 > 4x - 1
5y > 4x - 1
y > \frac{4}{5} x -  \frac{1}{5}
comparing this to the general form, we would find that:
slope (m) = 4/5
y-intercept (c) = 1/5

Second given inequality:
y - x < 3
y - x + x < 3 + x
y < 3 + x
comparing this to the general form, we would find that:
slope (m) = 1
y-intercept (c) = 3

Hope this helps :)
ss7ja [257]3 years ago
5 0

Answer:

B

Step-by-step explanation:

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