Question

Solve for xx and graph the solution on the number line below.
4, is less than, x, minus, 1
4<
x−1

Answer 1

To solve for \( x \) given the inequality \( 4 < x - 1 \), we simply isolate \( x \) by performing algebraic operations. Here is how you can do it:

First, add 1 to both sides of the equation to maintain equality:

\( 4 + 1 < x - 1 + 1 \)

which simplifies to:

\( 5 < x \)

Now, the inequality states that \( x \) is any number greater than 5. To graph this solution on the number line, you start by drawing an open circle at 5 (because 5 is not included in the solution, hence an open circle) and then shade or draw an arrow to the right, indicating that every number greater than 5 is the solution.

Please imagine a number line where:

- The point at 5 has an open circle (not filled in) to show \( x = 5 \) is not included.
- There is a shaded line or arrow extending from the open circle at 5 to the right, towards infinity, indicating all numbers greater than 5 are included in the solution.