Question

solving one-step inequalities
topic: solving one-step inequalities
progress:
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
which graph shows the inequality $x > 0$?

Explanation:

Step1: Analyze the inequality \(x > 0\)

The inequality \(x>0\) means \(x\) is greater than \(0\). On a number - line, when the inequality is \(x > a\) (where \(a = 0\) in this case), we use an open circle at \(a\) (because \(x\) is not equal to \(a\)) and the arrow points to the right (towards the larger numbers).

Step2: Check each option

• First option: Has a closed circle at \(0\) (which would be for \(x\geq0\)), so it's incorrect.
• Second option: Has an open circle at \(0\) and the arrow points to the right. This is consistent with \(x > 0\).
• Third option: The arrow points to the left (for \(x\leq0\)), so it's incorrect.
• Fourth option: The arrow points to the left (for \(x < 0\)), so it's incorrect.

Answer:

The second option (the number - line with an open circle at \(0\) and the arrow pointing to the right) shows the inequality \(x>0\).