Question

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

Answer 1

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

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

2. Next, we will get all terms involving \(x\) on one side and constant terms on the other side. To do this, add \(7x\) to both sides:
\[
-7 > -9 + 2x
\]

3. Now, isolate \(2x\) by adding \(9\) to both sides:
\[
2 > 2x
\]

4. Divide both sides by \(2\):
\[
1 > x
\]

This can also be written as:
\[
x < 1
\]

Thus, the solution to the inequality \(-7(x + 1) > -9 - 5x\) is:
\[
x < 1
\]