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indicate whether (2, 7) is a solution of the given system.y is greater than or = -x+1Y is less than 4x+2

Sagot :

In order to determine if the point (2, 7) is a solution to the given system of inequalities we just have to replace 7 for y and 2 for x and see if the two inequalities are met, like this:

For y ≥ -x + 1

7 ≥ -2 + 1

7 ≥ -1

As you can see, 7 is greater than -1 then the first inequality is met.

For y < 4x + 2

7 < 4(2) + 2

7 < 8 + 2

7 < 10

As you can see, the second inequality is also met, then (2, 7) is a solution for the system of inequalities.