The region in the graph that represents the solution of the system of linear inequalities y ≥ 2x − 3 and y ≤ -x + 1 is given by C region , This can be clearly understood from the graph attached.
When two algebraic expressions are equated by an inequality operator then the mathematical statement formed is called inequality
It is given that a line passes through the points (0, 1) and (2, minus 1)
The equation of the line representing this is given by
y = mx+c
m = -1
y = -x+1
and the other line passing through the points of (0, minus 3) and (2, 1) is
m = 2
y = 2x -3
These are plotted on the graph
From intersection, region to the right of it is A, below is D, to the left is C, and above is B.
These are noted ion the graph
Then the inequalities are plotted y ≥ 2x − 3 and y ≤ -x + 1
The region in the graph that represents the solution of the system of linear inequalities y ≥ 2x − 3 and y ≤ -x + 1 is given by C region , This can be clearly understood from the graph.
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