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受欢迎的代数 >

(3-1/3 x)/(3+1/2)>= (3x-5/2)/(1-2/3)

解答

\frac{3 - \frac{1}{3} x}{3 + \frac{1}{2}} \geq \frac{3 x - \frac{5}{2}}{1 - \frac{2}{3}}

解答

x \leq \frac{351}{382}

+2

间隔符号

(- \infty, \frac{351}{382}]

十进制

x \leq 0.91884 \dots

求解步骤

\frac{3 - \frac{1}{3} x}{3 + \frac{1}{2}} \geq \frac{3 x - \frac{5}{2}}{1 - \frac{2}{3}}

使用分式交叉相乘: 若

\frac{a}{b} = \frac{c}{d}

则

a \cdot d = b \cdot c

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

化简

1 - \frac{1}{9} x \geq \frac{7}{2} (3 x - \frac{5}{2})

展开

\frac{7}{2} (3 x - \frac{5}{2}) : \frac{21}{2} x - \frac{35}{4}

1 - \frac{1}{9} x \geq \frac{21}{2} x - \frac{35}{4}

将

1

到右边

- \frac{1}{9} x \geq - \frac{39}{4} + \frac{21}{2} x

将

\frac{21}{2} x

para o lado esquerdo

- \frac{191}{18} x \geq - \frac{39}{4}

在两边乘以

- 1

\frac{191}{18} x \leq \frac{39}{4}

在两边乘以

18

191 x \leq \frac{351}{2}

两边除以

191

x \leq \frac{351}{382}

作图

流行的例子

-2(5+6c)+16=-90

- 2 (5 + 6 c) + 16 = - 90

化简 (2u^2v^3)^3(3u^{-3}v)^2

s im pl i f y (2 u^{2} v^{3})^{3} (3 u^{- 3} v)^{2}

化简 (sqrt(2))/2+(1-sqrt(2))/(-1)

s im pl i f y \frac{2}{2} + \frac{1 - 2}{- 1}

因式分解-25a^2+185a-70

f a c t or - 25 a^{2} + 185 a - 70

1/4 x-1/5 x+1/20 x=4

\frac{1}{4} x - \frac{1}{5} x + \frac{1}{20} x = 4