For each row in a table, replace $x$ with the $x$-value and $y$ with the $y$-value in $5x+2y$. Then compare the result to $26$.

You do not need to check every single pair if you already find one that does not satisfy the inequality in that table. As soon as $5x+2y$ is less than $26$ for a pair, you can cross out that whole table.

Watch for pairs where both $x$ and $y$ are small or where $y$ is negative—these are more likely to make $5x+2y$ less than $26$ and help you eliminate a table quickly.

For any table you want to test, type an expression in Desmos for each row using its $x$- and $y$-values, like 5*(x-value) + 2*(y-value) (for example, 5*4+2*3).

Look at Desmos’s output for each expression. If every row in that table gives an output that is $\ge 26$, then all its pairs satisfy the inequality. If any row gives a result less than $26$, that table is not the answer.

The inequality is $5x + 2y \ge 26$. An $(x, y)$ pair is a solution if, when you plug the $x$ and $y$ values into $5x+2y$, the result is greater than or equal to $26$.

Pick one ordered pair and substitute it into $5x+2y$.

Example: For $(4, 3)$,

Since $26 \ge 26$, this pair does satisfy the inequality. You will do this kind of check for each pair in a table.

For each answer choice (each table):

1. Take the first row, plug into $5x+2y$, and see if the result is at least $26$.
2. If it is, move to the next row in that same table and repeat.
3. If any row in a table gives a result less than $26$, that entire table cannot be correct.

You only need one failing pair to eliminate a table.

Work through the rows:

• In one table, all three pairs give values $26$ or greater when plugged into $5x+2y$, so every pair is a solution.
• In each of the other tables, at least one pair gives a value less than $26$, so those tables include non-solutions.

Therefore, the correct table is the one with the pairs $(4, 3)$, $(3, 6)$, and $(6, -1)$.