The true values of x and y in the system of inequalities are (2/3, 10/3)
How to determine the values of x and y?
From the question, we have the following parameters that can be used in our computation:
y ≥ 2
x + y ≤ 4
y ≤ 2x + 2
Express the inequalities as equations
So, we have the following representation
x + y = 4
y = 2x + 2
Substitute y = 2x + 2 in the equation
x + y = 4
So, we have the following representation
x + 2x + 2 = 4
Evaluate the like terms
So, the equation becomes
3x = 2
Divide by 3
x = 2/3
Substitute x = 2/3 in y = 2x + 2
y = 2 x 2/3 + 2
Evaluate
y = 10/3
In y ≥ 2, we have
10/3 ≥ 2
The above inequality is true
Hence, the values of x and y are (2/3, 10/3)
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