Solve the inequality Write the solution set in interval notation
\[
11 x-4 x+10< 3(x+8)
\]

Write the solution set in interval notation.

Answer

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Answer

Final Answer: \(\boxed{(-\infty, \frac{7}{2})}\)

Steps

Step 1 ：Combine like terms on both sides of the inequality to get \(7x + 10 < 3x + 24\).

Step 2 ：Subtract \(3x\) from both sides to get \(4x + 10 < 24\).

Step 3 ：Subtract 10 from both sides to get \(4x < 14\).

Step 4 ：Divide both sides by 4 to get \(x < \frac{7}{2}\).

Step 5 ：The solution to the inequality is \(x < \frac{7}{2}\).

Step 6 ：Write the solution set in interval notation as \((-∞, \frac{7}{2})\).

Step 7 ：Final Answer: \(\boxed{(-\infty, \frac{7}{2})}\)