Find all x
 satisfying 10⋅x−27⋅x+7>−9
?

Provide your answer in the form x<a
, or x>a
 or (x<a)∧(x>b)
 or (x<a)∨(x<b)
 etc....

The formula contains a syntax error. Submit

It looks like there's a syntax error in your inequality, likely due to missing parentheses or improper formatting. From what you’ve written, it appears you meant to form an inequality involving \( x \). I'll correct it as follows:

### Problem Interpretation:
The inequality seems to be:
\[
10 \cdot x - 27 \cdot x + 7 > -9
\]

Let's solve it step-by-step.

### Step 1: Simplify the inequality
Combine like terms involving \( x \):
\[
(10x - 27x) + 7 > -9
\]

Simplify:
\[
-17x + 7 > -9
\]

### Step 2: Isolate \( x \)
Subtract 7 from both sides:
\[
-17x > -9 - 7
\]

\[
-17x > -16
\]

### Step 3: Solve for \( x \)
Divide both sides by \(-17\). Remember, dividing by a negative number reverses the inequality sign:
\[
x < \frac{-16}{-17}
\]

\[
x < \frac{16}{17}
\]

### Solution
The solution to the inequality is:
\[
x < \frac{16}{17}
\]

Would you like further details or have any questions? Here are some related problems:

1. Solve the inequality: \(5x - 3x + 10 < 12\).
2. Find the values of \( x \) that satisfy \( 8 - 3x \geq 5x + 2 \).
3. Solve and graph the inequality: \( -4x + 7 > 3 - 2x \).
4. Find \( x \) such that \( 12x - 4 < 2x + 8 \).
5. Solve the compound inequality: \( -5 < 2x - 3 < 7 \).

**Tip:** When dealing with inequalities, always remember that multiplying or dividing by a negative number reverses the inequality sign!

Find all x satisfying 10⋅x−27⋅x+7>−9?

This page provides a step-by-step solution for solving the linear inequality 10x - 27x + 7 > -9. Learn how to simplify the expression and solve the inequality using algebraic techniques. Key concepts include simplification of linear expressions and handling inequalities. Suitable for students in Grades 8-10.

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