Question

Which of the following is true for 2x - 4y > 8*

Answer 1

SOLUTION

Step 1 :

In this question, we are meant to find the points ( x, y ) that can satisfy the equation,

$\text{2x - 4 y }>\text{ 8}$

OPTION A :

( 0, 0 )

$\begin{gathered} 2\text{ ( 0 ) - 4 ( 0 ) }>\text{ 8} \\ 0\text{ - 0 }>8 \\ 0\text{ }>\text{ 8 ( FALSE)} \end{gathered}$

OPTION B:

( 1 , - 2 )

$\begin{gathered} 2\text{ ( 1 ) - 4 ( - 2 )}>\text{ 8} \\ 2\text{ - - 8 }>\text{ 8} \\ \text{2 + 8 }>8 \\ 10\text{ }>8\text{ ( TRUE )} \end{gathered}$

CONCLUSION :

The correct option is ( 1 , - 2 ) ----- OPTION B