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Sagot :
To determine if the points are solution points to the inequalities which are given:
a) To check (2,9) a solution to y<11−x:
Let us substitute x=2 and y=9, we get
[tex]\begin{gathered} 9<11-2 \\ 9<9 \end{gathered}[/tex]The answer is, No, (2,9) is not a solution to y<11−x.
b) To check (3,9) a solution to y≤15−x:
Put x=3 and y=9 we get,
[tex]\begin{gathered} 9\leq15-3 \\ 9\leq12 \end{gathered}[/tex]Since, 9 less than 12.
Hence, the answer is, yes (3,9) is a solution to y≤15−x.
c) To check (4,13) a solution to y>14−x:
Put x=4 and y=13 we get,
[tex]\begin{gathered} 13>14-4 \\ 13>10 \end{gathered}[/tex]Hence, the answer is yes, (4,13) is a solution to y>14−x.
d) To check (5,9) a solution to y≥15−x:
Put x=5 and y=9 we get,
[tex]\begin{gathered} 9\ge15-5 \\ 9\ge10 \end{gathered}[/tex]Since, 9 is not greater than 10.
Hence, the answer is No, (5,9) is not a solution to y≥15−x.
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