Question

which of the following is the graph of this inequality?
x < 7

Explanation:

Step1: Analyze the inequality symbol

The inequality \(x < 7\) has a "less than" symbol. In a number - line graph, for \(x < a\) (where \(a = 7\) here), we use an open circle at \(a\) (because \(x\) is not equal to \(7\)).

Step2: Determine the direction of the arrow

Since \(x\) is less than \(7\), the arrow should point to the left (towards the smaller numbers).

Answer:

The first number - line (with the open circle at \(7\) and the arrow pointing to the left) is the graph of the inequality \(x < 7\).