Question

Answer 1

Xin lỗi tại tui ko biết việc trình bày nên nếu có chỗ nào không hiểu thì thứ lỗi!!!!!

2x-5/6 + 22-7x/4 > 5-2/3 - x - 5x+2/4

= 2x-5/6 + 22-7x/4 > 1 - x - 5x+2/4

= 2x-5/6.12 + 22-7x/4.12 > 1.12 - x . 12 - 5x+2/4 , 12

= 2(2x-5) + 3 (-7x+22) > 12 -x . 12 - 3 (5x + 2)

= - 17x + 56 > -27x + 6 = -17x+ 56 - 56 > -27x + 6 - 56

= -17x > -27x - 50

= -17x + 27x > - 27x - 50 + 27x

= 10x : 10 > -50 : 10

= x > -5.

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`