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Solve the system of inequalities by graphing.

2x+ 5y <25
y < 3x - 2
5x - 7 <14

Solve the system of inequalities by graphing. 2x+ 5y <25 y < 3x - 2 5x - 7 &lt-example-1

1 Answer

4 votes

Answer:

b

Explanation:

Choice b is the only one that has the first equation properly graphed. The boundary line for that equation will have intercepts that can be found by setting the opposite variable to zero.

x-intercept = 25/2 = 12.5 (on the positive x-axis)

y-intercept = 25/5 = 5 (on the positive y-axis)

That is, the boundary line has a shallow negative slope, and is shaded below. Only graph 'b' has such a line.

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