Solve a greatest integer function inequality with operations Algebra I

x \gt \dfrac {-30} {7}

x \lt \dfrac {-30} {7}

x \gt \dfrac {30} {7}

x \lt \dfrac{30}{7}

x \lt \dfrac{4}{3}

x \lt \dfrac{-15}{7}

x \lt \dfrac{9}{2}

x \lt \dfrac{13}{4}

x \lt \dfrac{63}{5}

x \lt \dfrac{57}{4}

x \lt \dfrac{53}{3}

x \lt \dfrac{42}{5}

x \lt \dfrac{33}{25}

x \lt \dfrac{26}{17}

x \lt \dfrac{23}{15}

x \lt \dfrac{41}{20}

x \geq 12

x \geq 3

x \geq 6

x \geq 5

x \geq \dfrac{3}{2}

x \geq \dfrac{5}{2}

x \geq \dfrac{7}{5}

x \geq \dfrac{7}{3}

x \lt \dfrac{43}{32}

x \lt \dfrac{53}{23}

x \lt \dfrac{67}{30}

x \lt \dfrac{47}{21}