Question

find the solution set of the inequality

4x - 1 < 11
x (>, <. _<, _<, = ) _

Answer 1

To solve the inequality \( 4x - 1 < 11 \), we can follow these steps:

1. **Add 1 to both sides**:
\[
4x - 1 + 1 < 11 + 1
\]
This simplifies to:
\[
4x < 12
\]

2. **Divide both sides by 4**:
\[
\frac{4x}{4} < \frac{12}{4}
\]
This simplifies to:
\[
x < 3
\]

Thus, the solution set for the inequality is:
\[
x < 3
\]

In interval notation, this can be expressed as:
\[
(-\infty, 3)
\]

So, to fill in the blanks:

\( x < 3 \)