Question

graph $x > 1$.
how do i graph the inequality?
related content
plotting an inequality example
plotting inequalities on a number line

Explanation:

Step1: Analyze the inequality

The inequality is \( x > 1 \). For \( x > a \) (where \( a = 1 \) here), we use an open circle at \( a \) because \( x \) is not equal to \( a \), and the arrow points to the right (since we want values greater than \( a \)). Also, the current graph has a green dot at -5 and the line going left, which is incorrect for \( x > 1 \).

Step2: Adjust the graph

First, we need to move the circle (or dot) to 1. Then, since \( x > 1 \) (not \( x \geq 1 \)), we make the circle open (using the "Make circle open" button). Then, we switch the direction of the arrow to point to the right (since we want values greater than 1, so the arrow should go from 1 towards larger numbers, i.e., to the right).

Answer:

1. Move the circle (dot) to the position of \( 1 \) on the number line.
2. Click "Make circle open" to change the closed dot (or the current green dot) to an open circle (since \( x > 1 \) means \( x \) is not equal to \( 1 \)).
3. Click "Switch direction" to make the arrow point to the right (towards numbers greater than \( 1 \), like \( 2, 3, 4, \dots \)).

The correct graph should have an open circle at \( 1 \) and an arrow pointing to the right (towards \( 2, 3, 4, \dots \)).