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Problem 251

# Solve the inequality $$2 x+5>9$$

Expert verified
The solution to the inequality $$2x + 5 > 9$$ is $$x > 2$$.
See the step by step solution

## Step 1: Subtract 5 from both sides

To isolate the term with the variable (2x), we will subtract 5 from both sides of the inequality: $$2x + 5 - 5 > 9 - 5$$ This simplifies to: $$2x > 4$$

## Step 2: Divide by 2

Now, to isolate x, we will divide both sides of the inequality by 2: $$\frac{2x}{2} > \frac{4}{2}$$ This simplifies to: $$x > 2$$ So the solution to the inequality $$2x + 5 > 9$$ is $$x > 2$$.

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