Question

I need help with this one

which of the following ordered pairs (x y) satisfies the system of inequalities above

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

_____________________________________________

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

_____________________________________________

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

_____________________________________________

U can do D urself ...

Have a great day ♡