Question

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

Answer 1

To solve the inequality \(-7 (x + 1) > -9 - 5x\), we will first distribute \(-7\) on the left side:

\[
-7x - 7 > -9 - 5x
\]

Next, we will isolate \(x\) by first adding \(5x\) to both sides:

\[
-7x + 5x - 7 > -9
\]

This simplifies to:

\[
-2x - 7 > -9
\]

Now, we will add \(7\) to both sides:

\[
-2x > -2
\]

Next, divide both sides by \(-2\). Remember that when we divide by a negative number, the inequality sign will change direction:

\[
x < 1
\]

So the solution to the inequality is:

\[
x < 1
\]