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Which system of linear inequalities is represented by the graph?

Which system of linear inequalities is represented by the graph?-example-1
Which system of linear inequalities is represented by the graph?-example-1
Which system of linear inequalities is represented by the graph?-example-2
Which system of linear inequalities is represented by the graph?-example-3
Which system of linear inequalities is represented by the graph?-example-4
Which system of linear inequalities is represented by the graph?-example-5
User STaefi
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1 Answer

4 votes

Answer: The first and fourth graphs are identical.

Both
y \geq (1)/(5) x +1 and
y\leq -2x-4

For the second graph
y \geq (1)/(5) x +1 and y ≤ -2x + 4

For the third graph
y \geq (1)/(5) x +1 (again!) and y ≤ 2x + 4

Explanation:

The differences are mostly in the y-intecepts of the second equation in each system. Notice the shift from -4 to +4 Also notice the change from negative slope to positive slope.

User Henrique Goulart
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