Just put the options in the inequalities and check if they are true or not :
A ) ( - 1 , 0 )
[tex]2x + y \leqslant 3[/tex]
[tex]2( - 1) + 0 \leqslant 3[/tex]
[tex] - 2 \leqslant 3 \: \: \: kinda \: true[/tex]
And
[tex]x - y < - 3[/tex]
[tex] - 1 - 0 < - 3[/tex]
[tex] - 1 < - 3 \: \: \: false[/tex]
Thus A is wrong
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B ) ( - 1 , - 1 )
[tex]2( - 1) + ( - 1) \leqslant 3[/tex]
[tex] - 2 - 1 \leqslant 3[/tex]
[tex] - 3 \leqslant 3 \: \: kinda \: true[/tex]
And
[tex] - 1 - ( - 1) < - 3[/tex]
[tex] - 1 + 1< - 3[/tex]
[tex]0 < - 3 \: \: \: false[/tex]
Thus B is wrong
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C ) ( - 2 , 4 )
[tex]2( - 2) + 4 \leqslant 3[/tex]
[tex] - 4 + 4 \leqslant 3[/tex]
[tex]0 \leqslant 3 \: \: kinda \: true[/tex]
And
[tex] - 2 - 4 < - 3[/tex]
[tex] - 6 < - 3 \: \: \: true[/tex]
Thus C is the correct option
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U can do D urself ...
Have a great day ♡
