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3. solve $- 3x + 4 < 10 - 4x$

Question

  1. solve $- 3x + 4 < 10 - 4x$

Explanation:

Step1: Add \(4x\) to both sides

To isolate the variable \(x\), we add \(4x\) to both sides of the inequality \(-3x + 4 < 10 - 4x\). This gives us \(-3x + 4x + 4 < 10 - 4x + 4x\), which simplifies to \(x + 4 < 10\).

Step2: Subtract 4 from both sides

Next, we subtract 4 from both sides of the inequality \(x + 4 < 10\). This results in \(x + 4 - 4 < 10 - 4\), which simplifies to \(x < 6\).

Answer:

\(x < 6\)