Question

y≥3,y≤x,y≤−
2
1
​
x+8

Answer 1

The given inequalities are:
1) y ≥ 3
2) y ≤ x
3) y ≤ -2x + 8

To represent the solution set graphically, we can plot the lines y = 3 and y = x, and shade the region below both lines since y is less than or equal to x. Additionally, we can plot the line y = -2x + 8 and shade the region below the line since y is less than or equal to -2x + 8.

The solution set is the intersection of all the shaded regions.

Here is the graphical representation:

|
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3--|-----x
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|--2x+8
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|——————
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