RATIONAL EQUATION
1. 2×2+4x-7×2-3x+8.
2. 2×2+4x-7×2-3x+8=0.
3. x2-5x+6×2+3x+2=9
RATIONAL INEQUALITY
1. (x+1)/(3-x)>2
2. x/(x+7)<-3
3. (x-1)/(5-x)≥0
4. (3-2x)/(x-1)≤2
Answer:
Rational Equation
1.)
2.)
3.)
4.)
5.)
Rational Function
Rational Inequality
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Answers & Comments
RATIONAL EQUATION
1. 2×2+4x-7×2-3x+8.
2. 2×2+4x-7×2-3x+8=0.
3. x2-5x+6×2+3x+2=9
RATIONAL INEQUALITY
1. (x+1)/(3-x)>2
2. x/(x+7)<-3
3. (x-1)/(5-x)≥0
4. (3-2x)/(x-1)≤2
Answer:
Rational Equation
1.)![\frac{3}{x+2} = \frac{4x+1}{8x-3} \frac{3}{x+2} = \frac{4x+1}{8x-3}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7Bx%2B2%7D%20%3D%20%5Cfrac%7B4x%2B1%7D%7B8x-3%7D)
2.)![\frac{1+x}{x}= \frac{7}{x} \frac{1+x}{x}= \frac{7}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B1%2Bx%7D%7Bx%7D%3D%20%5Cfrac%7B7%7D%7Bx%7D)
3.)![\frac{x+4}{2} = \frac{7x}{4} \frac{x+4}{2} = \frac{7x}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B4%7D%7B2%7D%20%3D%20%5Cfrac%7B7x%7D%7B4%7D)
4.)![\frac{2x}{8} =\frac{9x}{x+5} \frac{2x}{8} =\frac{9x}{x+5}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B8%7D%20%3D%5Cfrac%7B9x%7D%7Bx%2B5%7D)
5.)![\frac{2x+5}{x-1}=-\frac{x}{2x} \frac{2x+5}{x-1}=-\frac{x}{2x}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%2B5%7D%7Bx-1%7D%3D-%5Cfrac%7Bx%7D%7B2x%7D)
Rational Function
1.)![f(x)=\frac{1}{x+4} f(x)=\frac{1}{x+4}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7Bx%2B4%7D)
2.)![f(x) = \frac{1}{x+4} f(x) = \frac{1}{x+4}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7Bx%2B4%7D)
3.)![f(x)= \frac{7x-1}{2x-6} f(x)= \frac{7x-1}{2x-6}](https://tex.z-dn.net/?f=f%28x%29%3D%20%5Cfrac%7B7x-1%7D%7B2x-6%7D)
4.)![f(x)=-\frac{2x+4}{x^{2} } f(x)=-\frac{2x+4}{x^{2} }](https://tex.z-dn.net/?f=f%28x%29%3D-%5Cfrac%7B2x%2B4%7D%7Bx%5E%7B2%7D%20%7D)
5.)![f(x)= \frac{2x^{2}-5x}{x} f(x)= \frac{2x^{2}-5x}{x}](https://tex.z-dn.net/?f=f%28x%29%3D%20%5Cfrac%7B2x%5E%7B2%7D-5x%7D%7Bx%7D)
Rational Inequality
1.)![\frac{x+3}{x-4} \geq 0 \frac{x+3}{x-4} \geq 0](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B3%7D%7Bx-4%7D%20%5Cgeq%200)
2.)![\frac{4-2x}{x-4} \leq 1 \frac{4-2x}{x-4} \leq 1](https://tex.z-dn.net/?f=%5Cfrac%7B4-2x%7D%7Bx-4%7D%20%5Cleq%201)
3.)![\frac{x+9}{x+6} \leq 2 \frac{x+9}{x+6} \leq 2](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B9%7D%7Bx%2B6%7D%20%5Cleq%202)
4.)![\frac{3x}{x-5} > 3 \frac{3x}{x-5} > 3](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7Bx-5%7D%20%3E%203)
5.)