Question

-3x + 8 > 44 explained

Answer 1

To solve the inequality \(-3x + 8 > 44\), follow these steps:

1. **Isolate the term with the variable:** Subtract 8 from both sides of the inequality to move the constant to the right side.

\[
-3x + 8 - 8 > 44 - 8
\]

This simplifies to:

\[
-3x > 36
\]

2. **Solve for \(x\):** Next, divide both sides by \(-3\). When you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign.

\[
x < \frac{36}{-3}
\]

Simplifying this gives:

\[
x < -12
\]

So, the solution to the inequality \(-3x + 8 > 44\) is:

\[
x < -12
\]

This means that any value of \(x\) that is less than \(-12\) will satisfy the original inequality.