Question

Solve the system of inequalities by graphing. 2x+ 5y <25 y < 3x - 2 5x - 7 <14

Answer 1

Answer:

  b

Step-by-step 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.