For each choice, plug in the $x$-value and $y$-value into $4x-y$ and compute the result.

A choice works only if the computed score is $6$ or greater.

In Desmos, enter the inequality $4x-y\ge 6$. This will shade the region of solutions.

Plot each answer choice as a point, for example by typing $(1,2)$, $(2,4)$, $(3,1)$, and $(0,5)$.

The solution is the point that lies in the shaded region (or on the boundary if the inequality includes $\ge$ or $\le$).

“At least $6$” means

Substitute each ordered pair into $4x-y$.

• For $(1,2)$: $4(1)-2=2$, not at least $6$.
• For $(2,4)$: $4(2)-4=4$, not at least $6$.
• For $(3,1)$: $4(3)-1=11$, which is at least $6$.
• For $(0,5)$: $4(0)-5=-5$, not at least $6$.

Therefore, the ordered pair that satisfies the requirement is $(3,1)$.