Math  /  Algebra

QuestionStabilisci se le seguenti disequazioni sono impossibili o sempre verificate. 1302(x1)x>x+31302(x-1)-x>x+3 [Impossibile] 136 2(x1)+3(x2)5(x3)2(x-1)+3(x-2) \geq 5(x-3) [xR][\forall x \in R] 1313(x+3)x>2x+81313(x+3)-x>2 x+8 [xR][\forall x \in \mathrm{R}] 1373(x+1)+2(x+3)2x+3(x+3)1373(x+1)+2(x+3) \geq 2 x+3(x+3) [xR][\forall x \in \mathrm{R}] 1324(x+1)<2x6(x+3)132-4(x+1)<2 x-6(x+3) [Impossibile] 1333x>3(1x)133-3 x>3(1-x) [Impossibile] 138(12x1)2(12x+3)24(x+3)138\left(\frac{1}{2} x-1\right)^{2}-\left(\frac{1}{2} x+3\right)^{2} \geq-4(x+3) [xR][\forall x \in \mathrm{R}] 1342x+2(x1)4x1342 x+2(x-1) \leq 4 x 135x1x135-x \geq 1-x [xR][\forall x \in \mathrm{R}] [Impossibile] 139(x1)25(x+1)2+x210135x139 \frac{(x-1)^{2}}{5}-\frac{(x+1)^{2}+x^{2}}{10} \geq 1-\frac{3}{5} x [Impossibile]

Studdy Solution
The provided solutions in the original problem statement are incorrect based on the calculations.
None of the inequalities are always true or always false.
They all have a specific range of solutions for xx.

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