Question

Mulțimea soluţiilor inecuației |x + √3| < √3+1​

Answer 1

$|x + \sqrt{3} | < \sqrt{3} + 1 \\ - \sqrt{3} - 1 <\underline{ x + \sqrt{3} } < \sqrt{3} + 1 \\ - \sqrt{3} - \sqrt{3} - 1 < \underline {x + \sqrt{3} - \sqrt{3}} < \sqrt{3} - \sqrt{3} + 1 \\ - 2 \sqrt{3} - 1 < \underline{x} < 1 \\\iff \boxed{x\in( - 2 \sqrt{3} - 1; \: \: 1)}$