Question

Ordered pair that satisfy the equation $x+y+1<0$ is:

• A. $(0,-1)$
• B. $(-2,0)$
• C. $(2,-4)$
• D. Both (B) and (C)

Answer 1

Answer: (D)

Both (B) and (C)

Given inequation is
$x+y+1<0$
From option A $0+(-1)+1<0$
$\Rightarrow 0<0$ which is false
Hence, (0,-1) is not a solution.
From option B $-2+0+1<0$
$\Rightarrow -1<0$ which is true
Hence, (-2,0) there is a solution
From option C $2-4+1<0$
$\Rightarrow -1<0$ which is true.
Hence, (2,-4) is a solution
Hence Option B and C are the solution