Question

Rezolvati in R inecuatia f(x) >_ x- radical 3.
f(x)= xradical 3- 3

VA ROG!!! URGENT!!!

Answer 1

$f(x) \geq x- \sqrt{3} <=> x\sqrt{3}-3 \geq x- \sqrt{3}<=> x\sqrt{3}-x \geq 3- \sqrt{3}<=> \\ \\ <=>x( \sqrt{3}-1) \geq \sqrt{3}( \sqrt{3}-1)=>x \geq \sqrt{3} .$

Solutie: x∈[√3 ; +∞).