To find the inequalities:
Since the shaded part is the right side of the y axis.
Hence, one the inequality is,
[tex]x\ge0[/tex]
And since the shaded part is below the line.
Hence, the inequality must contain the less than or equal symbol.
Also, its intercepts are positive.
Therefore, the correct option is the second option.
[tex]2x+5y\leq14,x\ge0[/tex]
