Q. Is (4,6) a solution to this system of inequalities?19x+9y>14x+y≤10Choices:(A)yes(B)no
Check Point (4,6): Let's first check if the point (4,6) satisfies the inequality 19x+9y>14. Substitute 4 for x and 6 for y in 19x+9y>14. 19(4)+9(6)>1476+54>14(4,6)0 Since (4,6)0 is true, (4,6) satisfies the first inequality.
Substitute Values: Now let's check if the point (4,6) satisfies the inequality x+y≤10.Substitute 4 for x and 6 for y in x+y≤10.4+6≤1010≤10Since 10≤10 is true, (4,6) satisfies the second inequality.
Verify First Inequality: Since the point (4,6) satisfies both inequalities in the system, it is a solution to the system of inequalities.
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