Question

Tell whether (-9,2) is a solution of x+3y≥-2

Answer 1

Not a solution

Explanation:

Plug the coordinates and check

`x+3y\geq-2\\\\(-9)+3(2)\stackrel{?}{\geq}-2\\\\-9+6\stackrel{?}{\geq}-2\\\\-3\stackrel{?}{\geq}-2\\\\-3\\geq-2`

Therefore,
`(-9,2)` is not a solution of
`x+3y\geq2`

Answer 2

Explanation:

Substitute the point (-9, 2) into the inequality:

`-9+3(2)\geq 2`

Simplify:

`-3\geq -2` False.

-3 isn't greater than or equal to -2.

(-9, 2) is not a solution of
`x+3y\geq -2`