The graph of
... y = 3/4 - 2
is a horizontal line at y = -1.25.
The graph of
... y = (3/4)x - 2
is an upward-sloping line with a rise of 3 for every 4 units to the right. It intercepts the y-axis at y = -2.
A rectangular tank is 39feet long, 25 feet wide 18 feet high there is 11 feet of water in the tank if a valve is open at the bot
1 answer:
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In order find the Inequalities, First we need to Find the Equations of Both the Lines.
<u>Equation of First line :</u>
It is passing through the Points (0 , 2) and (4 , 0)
⇒ Slope =
⇒ Equation of the First Line :
⇒ Equation of the First Line : x + 2y = 4
<u>Equation of Second Line :</u>
It is passing through the Points (1.5 , 0) and (0 , -3)
⇒ Slope =
⇒ Equation of the Second Line : y + 3 = 2x
⇒ Equation of the Second Line : 2x - y = 3
As the Shaded Area of the First Line is away from the Origin :
⇒ x + 2y ≥ 4
As the Shaded Area of the Second Line is towards the Origin and it is a Dotted line :
⇒ 2x - y < 3
So, the System of Linear Inequalities are :
⇒ x + 2y ≥ 4
⇒ 2x - y < 3