Question

Which of the following points is a solution of the system shown? x + y ≥ 6 , x ≥ 4

Answer 1

SOLUTION

COMPLETE QUESTION

Which of the following points is a solution of the system shown

x + y ≥ 6

x ≥ 4

• (-1, 7)

• (4, -2)

• (4, 2)

EVALUATION

Here the given inequalities are

x + y ≥ 6

x ≥ 4

CHECKING FOR OPTION : 1

Here the given point ( - 1 , 7 )

Now - 1 + 7 = 6 ≥ 6

Which is True

Also - 1 ≥ 4

Which is false

So this option is not correct

CHECKING FOR OPTION : 2

Here the given point ( 4 , - 2 )

Now 4 - 2 = 2 ≥ 6

Which is false

Also 4 ≥ 4

Which is true

So this option is not correct

CHECKING FOR OPTION : 3

Here the given point ( 4 , 2 )

Now 4 + 2 = 6 ≥ 6

Which is True

Also 4 ≥ 4

Which is true

So this option is correct

FINAL ANSWER

Hence the correct option is ( 4 , 2 )

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