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Answer:
Here, the given system of inequalities,
y ≤ -x + 55 --------(1)
y > -1.5 x + 15 -------(2),
The related line of the inequality (1) is,
y = - x + 55 ------(3)
Which having x-intercept = (55,0)
And, y-intercept = (0,55),
Also, at (0,0),
Inequality (1), 0 ≤ 0 + 55 ( True )
Thus, it will contain the origin,
Also, ≤ sign stated that the inequality (1) is a solid line,
Now, The related line of the inequality (2) is,
y = -1.5 x + 15 -----(3)
Which having x-intercept = (10,0)
And, y-intercept = (0,15),
Also, at (0,0),
Inequality (1), 0 > 0 + 15 ( False )
Thus, it will not contain the origin,
Also, > sign stated that the inequality (2) is a dashed line,
Now after solving equation (3) and (4) we get,
x = -80 and y = 135
⇒ The intersection point of line (3) and (4) is (-80,135)
Hence, by the above explanation we can plot the given system of inequalities ( Shown below )
