Question

Bài 1 : Giải bất phương trình :

a. \(\frac{2}{3x-12}< 0\)

b. \(\frac{25-15x}{3}>0\)

c. \(\frac{3x+5}{2}-1\) ≤ \(\frac{x+2}{3}+x\)

d. \(\frac{x+4}{5}-x+4>\frac{x}{3}-\frac{x-2}{2}\)

e. \(\frac{5x-2}{4}>\frac{1-2x}{12}\)

Answer 1

c) \(\frac{3x+5}{2}-1\le\frac{x+2}{3}+x\)

\(\Leftrightarrow\frac{3.\left(3x+5\right)}{6}-\frac{6}{6}\le\frac{2.\left(x+2\right)}{6}+\frac{6x}{6}\)

\(\Leftrightarrow9x+15-6\le2x+4+6x\)

\(\Leftrightarrow9x-2x-6x\le4-15+6\)

\(\Leftrightarrow x\le-5\)

Vậy nghiệm của bpt là x \(\le-5\)

Answer 2

Mk giải luôn ko ghi lại đầu bài nữa nha

a, 3x-12<0

3x<12

x<4

b,25-15x>0

-15x>-25

x<\(\frac{5}{3}\)

c,3(3x+5)-6\(\le\)2(x+2)+6x

9x+15-6\(\le\)2x+4+6x

9x+9\(\le\)8x+4

9x-8x\(\le\)4-9

x\(\le\)-5

d,6(x+4)-30x+120>10x-15(x-2)

6x+24-30x+120>10x-15x+30

-24x+144>-5x+30

-24x+5x>30-144

-19x>-144

x>6

e, 3(5x-2)>1-2x

15x-6>1-2x

15x+2x>1+6

17x>7

x>\(\frac{7}{17}\)