Question

show my work

-6x + 15 > 27

Answer 1

To solve the inequality \(-6x + 15 > 27\), follow these steps:

1. **Isolate the term with \(x\):**
Subtract 15 from both sides of the inequality:
\[
-6x + 15 - 15 > 27 - 15
\]
This simplifies to:
\[
-6x > 12
\]

2. **Divide by -6**:
When dividing or multiplying both sides of an inequality by a negative number, remember to reverse the inequality sign:
\[
x < \frac{12}{-6}
\]
This simplifies to:
\[
x < -2
\]

So, the solution to the inequality \(-6x + 15 > 27\) is:
\[
x < -2
\]

**Conclusion:**
The values of \(x\) that satisfy the inequality are all real numbers less than \(-2\).