Question

sam graphed the inequality -2>x (above).
what is sams error?
sam did not make an error.
he didnt flip the inequality. the arrow should be pointing to the left.
he put an open circle on -2, it shouldve been a closed circle.
he put an open circle and has the arrow pointing to the right. it should be a closed circle and pointing to the left.

Explanation:

The inequality \( - 2>x\) means \(x < - 2\). On a number line, for \(x < - 2\), we use an open circle at \(-2\) (because \(-2\) is not included in the solution set) and the arrow should point to the left (towards smaller numbers). Sam's graph has the arrow pointing to the right (which would be for \(x>-2\)).

Answer:

He didn't flip the inequality. The arrow should be pointing to the left.