-5x+ less than 19

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 \(x > -3.8\).