Question

The graph of 2x - 5y = 10 is shown on the grid. He у 10 Which ordered pair is in the solution set of 2x - 5y > 10? in E

Answer 1

Write the inequality

`2x-5y\ge10`

now we can repalce each ordered pair to check the inequality

if the inequality is right the pair is a solution

A. (0,5)

`\begin{gathered} 2(0)-5(5)\ge10 \\ 0-25\ge10 \\ -25\ge10 \end{gathered}`

on this case -25 isnt greater than or equal to 10 then is wrong

B. (5,0)

`\begin{gathered} 2(5)-5(0)\ge10 \\ 10-0\ge10 \\ 10\ge10 \end{gathered}`

10 is equal to 10 then this option is RIGHT

C. (-2,5)

`\begin{gathered} 2(-2)-5(5)\ge10 \\ -4-25\ge10 \\ -29\ge10 \end{gathered}`

-29 isnt greater than or equal to 10 then is wrong

D. (-5,2)

`\begin{gathered} 2(-5)-5(2)\ge10 \\ -10-10\ge10 \\ -20\ge10 \end{gathered}`

-29 isnt greater than or equal to 10 then is wrong

finally the only solution is B (5,0)