Solve the inequality and write your answer as an inequality with reduced fractions. $$ 11 x+2827+2 x $$

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Solve the inequality and write your answer as an inequality with reduced fractions. $$ 11 x+28>27+2 x $$

UpStudy AI · Accepted Answer

To solve the inequality $$ 11x + 28 > 27 + 2x $$, follow these steps:

1. **Subtract $$2x$$ from both sides** to get all $$x$$-terms on one side:
   $$
   11x + 28 - 2x > 27
   $$
   Simplifying:
   $$
   9x + 28 > 27
   $$

2. **Subtract 28 from both sides** to isolate the $$x$$-term:
   $$
   9x > 27 - 28
   $$
   Simplifying:
   $$
   9x > -1
   $$

3. **Divide both sides by 9** to solve for $$x$$:
   $$
   x > \frac{-1}{9}
   $$
   
   The fraction $$\frac{-1}{9}$$ is already in its reduced form.

**Final Answer:**
$$
x > -\frac{1}{9}
$$
$$ x > -\frac{1}{9} $$

Solve the inequality and write your answer as an inequality with reduced fractions. \( 11 x+28>27+2 x \)

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