How do you tell whether the ordered pair (1,3) is a solution to #y<=x+2, y>4x-1#?

1 Answer
smendyka
Dec 18, 2016

Because it does not hold for one of the inequalities this ordered pair is not a solution to the set of inequalities.

Explanation:

To make this determination you must substitute #1# for #x# in each inequality and #3# for #y# in each inequality and to see whether or not the inequalities hold:

Inequality 1)

#3 <= 1 + 2#

#3 <= 3# This is true therefore the inequality holds.

Inequality 2)

#3 > (4 xx 1) - 1#

#3 > 4 - 1#

#3 > 3# This is not true therefor the inequality does not hold.

Because it does not hold for one of the inequalities this ordered pair is not a solution to the set of inequalities.

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