\(\dfrac{2x-1}{3}\)-\(\dfrac{x+3}{2}\)\(\le\)1
<=>\(\dfrac{2\left(2x-1\right)}{6}\)+\(\dfrac{3\left(x+3\right)}{6}\)\(\le\)\(\dfrac{6}{6}\)
=>4x -2 +3x+9\(\le\)6
<=>7x+7\(\le\)6
<=>7x\(\le\)6-7
<=>7x\(\le\)-1
<=>x\(\le\)\(\dfrac{-1}{7}\)
vậy bất phương trình có nghiệm là x\(\le\)\(\dfrac{-1}{7}\)
\(\dfrac{2x-1}{3}\)-\(\dfrac{x+3}{2}\)\(\le\)1
<=>\(\dfrac{2\left(2x-1\right)}{6}\)-\(\dfrac{3\left(x+3\right)}{6}\le\dfrac{6}{6}\)
=>4x-2-3x-9\(\le\)6
<=>x-11\(\le\)6
<=>x\(\le\)6+11
<=>x\(\le\)17
Vậy bất phương trình có nghiệm là x\(\le\)17
\(\dfrac{2x-1}{3}\)- \(\dfrac{x+3}{2}\)\(\le\) 1
\(\Leftrightarrow\) \(\dfrac{2.\left(2x-1\right)-3.\left(x+3\right)}{6}\)\(\le\) \(\dfrac{6}{6}\)
\(\Leftrightarrow\) 2.(2x-1)- 3.(x+3)\(\le\) 6
\(\Leftrightarrow\) 4x-2- 3x- 3\(\le\) 6
\(\Leftrightarrow\) 4x- 3x\(\le\) 6+ 2+ 3
\(\Leftrightarrow\) x\(\le\) 11
vậy bpt có no là x\(\le\) 11
Phương trình có nghiệm khi x < hoặc = 17 chứ bạn.