Answer to Question #259544 in Algebra for dust

Question

Find one possible missing coordinate so that the point becomes a solution to the given inequality.

(x,2) is a solution to 2x−8≤y .

Answer 1

For (x,2) to be solution of the inequality, it must satisfy the inequality.

So I put the point and solve the inequality.

$2x-8\leq y$

Put y = 2

$2x-8\leq2$

Add 8 to both sides

$2x-8+8\leq2+8$

$2x\leq10$

Divide both sides by 2

$x\leq5$

Hence any value of x less than or equal to 5 will make the point (x,2) solution of the inequality. For example, when x = 1, 1 is less than 5 so (1,2) is a solution.