Question

graph the inequality below on the number line.
x < 10

Explanation:

Step1: Locate the number 10 on the number line

Since the inequality is \(x < 10\), we first find the position of \(10\) on the given number line.

Step2: Use an open circle at \(x = 10\)

Because the inequality is strict (\(<\), not \(\leq\)), we represent \(x = 10\) with an open - circle.

Step3: Shade the region to the left of \(10\)

The inequality \(x<10\) means all values of \(x\) that are less than \(10\). On a number line, values less than \(10\) are to the left of \(10\). So we shade the part of the number line to the left of the open - circle at \(10\).

Answer:

Draw an open circle at \(x = 10\) (since the inequality is \(x<10\) and not \(x\leq10\)) and shade the number line to the left of \(10\).