Question

sqrt{3} cos (1.5x+ pi /6)<-1.5
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Answer 1

$sqrt{3} cdot cos(1,5x+ frac{pi}{6}) textless -1,5\\sqrt3cdot cos(1,5x+frac{pi}{6}) textless -frac{3}{2}\\cos(1,5x+frac{pi}{6}) textless -frac{3}{2sqrt3 } \\cos(1,5x+frac{pi}{6}) textless -frac{sqrt3}{2}\\frac{5pi}{6}+2pi n textless 1,5x+frac{pi}{6} textless frac{7pi}{6}+2pi n; ,; nin Z\\frac{2pi}{3}+2pi n textless 1,5x textless pi +2pi n; ,; nin Z\\frac{4pi n}{9}+frac{4pi n}{3} textless x textless frac{2pi }{3}+ frac{4pi n}{3} ; ,; nin Z$