Question

Graph the solution of this inequality on the number line.8x<48

Answer 1

To graph the solution of the inequality
`\(8x \leq 48\)` on the number line:

1. Solve the inequality for
`\(x\):`

`\[8x \leq 48\]`

Divide both sides by 8:

`\[x \leq 6\]`

2. To graph
`\(x \leq 6\)` on a number line, you would:

- Draw a solid circle (or dot) at \(x = 6\) to indicate that 6 is included in the solution (since the inequality is
`\(\leq\)` and not just
`\( < \)).`

- Shade the number line to the left of 6, towards negative infinity, to indicate all numbers less than or equal to 6 are included in the solution set.

Answer 2

We have to graph the solution set for 8x ≤ 48.

First, we solve for x:

`\begin{gathered} 8x\le48 \\ (8x)/(8)\le(48)/(8) \\ x\leq6 \end{gathered}`

Then, we can graph all the values of x that are less than or equal to 6 as:

NOTE: we will use a full dot at x = 6 to indicate that this value is included in the interval.