Question

I need help with this one

Answer 1

Just put the options in the inequalities and check if they are true or not :

A ) ( - 1 , 0 )

$2x + y \leqslant 3$

$2( - 1) + 0 \leqslant 3$

$- 2 \leqslant 3 \: \: \: kinda \: true$

And

$x - y < - 3$

$- 1 - 0 < - 3$

$- 1 < - 3 \: \: \: false$

Thus A is wrong

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B ) ( - 1 , - 1 )

$2( - 1) + ( - 1) \leqslant 3$

$- 2 - 1 \leqslant 3$

$- 3 \leqslant 3 \: \: kinda \: true$

And

$- 1 - ( - 1) < - 3$

$- 1 + 1< - 3$

$0 < - 3 \: \: \: false$

Thus B is wrong

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C ) ( - 2 , 4 )

$2( - 2) + 4 \leqslant 3$

$- 4 + 4 \leqslant 3$

$0 \leqslant 3 \: \: kinda \: true$

And

$- 2 - 4 < - 3$

$- 6 < - 3 \: \: \: true$

Thus C is the correct option

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U can do D urself ...

Have a great day ♡