Question

Answer 1

\(\dfrac{2x-5}{6}+\dfrac{22-7x}{4}>\dfrac{5-2}{3}-x-\dfrac{5x+2}{4}\)
\(\Leftrightarrow\dfrac{2\left(2x-5\right)}{6.2}+\dfrac{3\left(22-7x\right)}{4.3}>\dfrac{4\left(5-2\right)}{3}-\dfrac{12x}{12}-\dfrac{3\left(5x+2\right)}{4.3}\)
\(\Leftrightarrow4x-10+33-29x>20-8-12x-15x-6\)
\(\Leftrightarrow23-25x>6-27x\)
\(\Leftrightarrow27x-25x>6-23\)
\(\Leftrightarrow2x>-17\)
\(\Leftrightarrow x>-8,5\)
Vậy...

Answer 2

\(\dfrac{2x-5}{6}+\dfrac{22-7x}{4}>\dfrac{5-2}{3}-x-\dfrac{5x+2}{4}\\ \Leftrightarrow\dfrac{2\left(2x-5\right)}{6.2}+\dfrac{3\left(22-7x\right)}{4.3}>\dfrac{3.4}{3.4}-\dfrac{12.x}{12}-\dfrac{3\left(5x+2\right)}{3.4}\\ \Leftrightarrow\dfrac{4x-10}{12}+\dfrac{66-21x}{12}>\dfrac{12}{12}-\dfrac{12x}{12}-\dfrac{15x+6}{12}\\ \Leftrightarrow4x-10+66-21x>12-12x-15x-6\\ \Leftrightarrow-17x+56>6-27x\\ \Leftrightarrow-17x+56-6+27x>0\\ \Leftrightarrow10x+50>0\\ \Leftrightarrow10x>-50\\ \Leftrightarrow x>-5\)

Vậy bpt có nghiệm `x> -5`