Question

-7 (x + 1) is greater than -9 - 5x

Answer 1

To solve the inequality \(-7(x + 1) > -9 - 5x\), follow these steps:

1. Distribute \(-7\) on the left side:
\[
-7x - 7 > -9 - 5x
\]

2. Move the \(5x\) term from the right side to the left side:
\[
-7x + 5x - 7 > -9
\]
This simplifies to:
\[
-2x - 7 > -9
\]

3. Next, add \(7\) to both sides:
\[
-2x > -2
\]

4. Divide each side by \(-2\). Remember, when you divide or multiply by a negative number, you must flip the inequality sign:
\[
x < 1
\]

Thus, the solution to the inequality is:
\[
\boxed{x < 1}
\]