Answer:
x ≤ 2
Step-by-step explanation:
Given the inequality :
5 x − 6 ≤ 2 + ( 3 x − 4 )
Open The bracket
5x - 6 ≤ 2 + 3x - 4
Collect like terms
5x - 3x ≤ 2 - 4 + 6
2x ≤ 4
Dibide both sides by 2
2x /2 ≤ 4/ 2
x ≤ 2
Answer: 3^2 k^10
Step-by-step explanation:
First convert the fraction into a decimal.If the division ends in a repeating decimal, you can stop after a certain number of decimal places and round off.
The equation of line passing through given points is:
![y = -\frac{2}{3}x-\frac{7}{3}](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B7%7D%7B3%7D)
Step-by-step explanation:
Given points are:
(x1,y1) = (-2,-1)
(x2,y2) = (1,-3)
First of all we have to find the slope
![m = \frac{y_2-y_1}{x_2-x_1}\\=\frac{-3+1}{1+2}\\=\frac{-2}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%3D%5Cfrac%7B-3%2B1%7D%7B1%2B2%7D%5C%5C%3D%5Cfrac%7B-2%7D%7B3%7D)
slope-intercept form of equation is:
![y= mx+b](https://tex.z-dn.net/?f=y%3D%20mx%2Bb)
Putting the value of slope
![y = -\frac{2}{3}x+b](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B2%7D%7B3%7Dx%2Bb)
Putting (1,-3) in the equation
![-3 = -\frac{2}{3}(1)+b\\-3 = -\frac{2}{3}+\\b= -3+\frac{2}{3}\\b = \frac{-9+2}{3}\\b = -\frac{7}{3}](https://tex.z-dn.net/?f=-3%20%3D%20-%5Cfrac%7B2%7D%7B3%7D%281%29%2Bb%5C%5C-3%20%3D%20-%5Cfrac%7B2%7D%7B3%7D%2B%5C%5Cb%3D%20-3%2B%5Cfrac%7B2%7D%7B3%7D%5C%5Cb%20%3D%20%5Cfrac%7B-9%2B2%7D%7B3%7D%5C%5Cb%20%3D%20-%5Cfrac%7B7%7D%7B3%7D)
Putting the value of b in the equation
![y = -\frac{2}{3}x-\frac{7}{3}](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B7%7D%7B3%7D)
Hence,
The equation of line passing through given points is:
![y = -\frac{2}{3}x-\frac{7}{3}](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B7%7D%7B3%7D)
Keywords: Equation of line, slope
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