Question

solve the inequality, then identify the graph of the solution. 2x - 1 > x + 2

Explanation:

Step1: Subtract \(x\) from both sides

$$2x - 1-x>x + 2-x$$
$$x-1>2$$

Step2: Add 1 to both sides

$$x-1 + 1>2+1$$
$$x>3$$

On a number - line, for \(x>3\), we have an open circle at \(x = 3\) (because \(x\) is not equal to \(3\)) and the line extends to the right.

Answer:

The second option (the one with an open circle at \(0\) - assuming it's a mis - label and should be at \(3\) and the line extending to the right) is the correct graph. The solution of the inequality \(2x-1>x + 2\) is \(x>3\).