Question

-5x+ less than 19

Answer 1

To solve the inequality \(-5x < 19\), follow these steps:

1. **Isolate the variable \(x\)**:
- To do this, divide both sides of the inequality by -5. Remember that when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign.

\[
x > \frac{19}{-5}
\]

2. **Simplify**:
- Calculate \(\frac{19}{-5}\):

\[
x > -\frac{19}{5}
\]

3. **Final Result**:
- The solution is:

\[
x > -3.8
\]

So the solution to the inequality \(-5x < 19\) is \(x > -3.8\).