Question

-5x+14 less than 19

Answer 1

To solve the inequality \(-5x + 14 < 19\), follow these steps:

1. Subtract 14 from both sides:
\[
-5x < 19 - 14
\]
\[
-5x < 5
\]

2. Divide both sides by -5. Remember to reverse the inequality sign when dividing by a negative number:
\[
x > \frac{5}{-5}
\]
\[
x > -1
\]

So, the solution to the inequality is:
\[
x > -1
\]