Solve the following inequality and graph the solution set on a number line.
\[
5(x+1)-9< 4 x+1
\]
What is the solution set?
$\{x \mid$
(Type an inequality.)

Answer

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Answer

Final Answer: The solution set for the inequality $5(x+1)-9<4x+1$ is $\boxed{x<5}$.

Steps

Step 1 ：First, we need to simplify the inequality by distributing the 5 on the left side and then moving all terms to one side of the inequality. This will give us a simpler inequality that we can solve for x.

Step 2 ：The simplified inequality is $x < 5$. Now we need to graph this inequality on a number line.

Step 3 ：Final Answer: The solution set for the inequality $5(x+1)-9<4x+1$ is $\boxed{x<5}$.

Solve the following inequality and graph the solution set on a number line.\[5(x+1)-9< 4 x+1\]What is the solution set?$\{x \mid$(Type an inequality.)

Answer

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Solve the following inequality and graph the solution set on a number line.
\[
5(x+1)-9< 4 x+1
\]
What is the solution set?
$\{x \mid$
(Type an inequality.)