-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 $x>-3.8$.