\(\left(3x-4\right)^2-\left(3x+2\right)\left(3x-2\right)\ge\dfrac{x+3}{2}\)
\(\Leftrightarrow\left(3x-4\right)^2-9x^2+4\ge\dfrac{x+3}{2}\)
\(\Leftrightarrow2\left(9x^2-24x+16\right)-18x^2+8\ge x+3\)
\(\Leftrightarrow18x^2-48x+32-18x^2+8\ge x+3\)
\(\Leftrightarrow-49x\ge-37\)
\(\Leftrightarrow x\le\dfrac{37}{49}\)
1. Giải các BPT
a) \(\dfrac{5x^2-3x}{5}+\dfrac{3x+1}{4}< \dfrac{x\left(2x+1\right)}{2}-\dfrac{3}{2}\)
b)\(\dfrac{5x-20}{3}-\dfrac{2x^2+x}{2}\ge\dfrac{x\left(1-3x\right)}{3}-\dfrac{5x}{4}\)
c) (x+3)2\(\le\)x2-7
1. Tìm GTNN:
a)A = |x| + |1+x|
b) B = |2-x| + 3
2. Chứng minh
a) a4 +1 \(\ge\) a(a2 +1)
b) \(\dfrac{a^2}{a^4+1}\le\dfrac{1}{2}\)
3. Giải pt:
a) |-4x| + 3x = 1
b) |x-2|=|3x|
c) |x-2|=3x
BÀI 1 : RÚT GỌN CÁC BIỂU THỨC SAU .
a, \(\dfrac{3}{x-3}-\dfrac{6x}{9-x^2}+\dfrac{x}{x+3}\)
b, \(\left(\dfrac{3x}{1-3x}+\dfrac{2x}{3x+1}\right):\dfrac{6x^2+10x}{9x^2-6x+1}\)
c, \(\left(\dfrac{9}{x^3-9x}+\dfrac{1}{x+3}\right):\left(\dfrac{x-3}{x^2+3x}-\dfrac{x}{3x+9}\right)\)
d, \(\dfrac{1-x^2}{x}\left(\dfrac{x^2}{x+3}-1\right)+\dfrac{3x^2-14x+3}{x^2+3x}\)
Giải các bất phương trình :
a) \(\dfrac{5x^2-3x}{5}+\dfrac{3x+1}{4}< \dfrac{x\left(2x+1\right)}{2}-\dfrac{3}{2}\)
b) \(\dfrac{5x-20}{3}-\dfrac{2x^2+x}{2}>\dfrac{x\left(1-3x\right)}{3}-\dfrac{5x}{4}\)
BÀI 1 : RÚT GỌN CÁC BIỂU THỨC SAU .
a, \(\dfrac{3}{x-3}-\dfrac{6x}{9-x^2}+\dfrac{x}{x+3}\)
b, \(\left(\dfrac{3x}{1-3x}+\dfrac{2x}{3x+1}\right):\dfrac{6x^2+10x}{9x^2-6x+1}\)
c, \(\left(\dfrac{9}{x^3-9x}+\dfrac{1}{x+3}\right):\left(\dfrac{x-3}{x^2+3x}-\dfrac{x}{3x+9}\right)\)
d, \(\dfrac{1-x^2}{x}\left(\dfrac{x^2}{x+3}-1\right)+\dfrac{3x^2-14x+3}{x^2+3x}\)
Giai các bpt
a, 2x+2>4
b, 3x+2>-5
c,10-2x>2
d,1-2x<3
e,10x+3-5≤14x+12
f/ (3x-1)< 2x+4
g 4x-8 ≥3(2x-1)-2x+1
h/ x^x -x(x+2)> 3x-1
i/ x+8 >3x-1
j/ 3x- (2x+5) ≤(2x-3)
k/ (x-3) (x+3)<x(x+2)+3
l/ 2(3x-1) -2x<2x+1
m, (3-2x/5)> (2-x/3)
n, (x-2/6)-(x-1/3)≤x/2
o, (x+1/3)>(2x-1/6) -2
p, 1+ (2x+1)/3) >(2x-1/6) -2
q, (x+5/6)-(2x+1/3)≤ (x+3/2)
r, (5x+4/6) -(2x-1/12)≥4
\(a.\dfrac{5x-20}{3}-\dfrac{x\left(1-3x\right)}{3}-\dfrac{5x}{4}\)
b.\(\dfrac{5x^2-3x}{5}+\dfrac{3x+1}{4}< \dfrac{x\left(2x+1\right)}{2}-\dfrac{3}{2}\)
c.\(\dfrac{-1}{2x+3}< 0\)
CỨU MÌNH VỚI MỌI NGƯỜI MÌNH ĐANG CẦN GẤP MAI MINK KTR RỒI. HELP ME!!!!!!!!!!
Giải các bất PT sau
a. \(7x-5\ge-3x+13\)
b. \(9x^2+4x-3\ge\left(3x+2\right)^2\)
c. \(\frac{3x-5}{8}+\frac{1-5x}{4}< \frac{1}{2}\)
Giải bpt và biểu diễn tập nghiệm trên trục số:
a) \(\dfrac{2x-3}{x+5}\)≥ 2
b) \(\dfrac{2x\left(3x-5\right)}{x^2+1}\)< 0
c) \(\dfrac{2x-3}{x+5}\)≥ 3
