Answer: y > -1/2x + 2
Step-by-step explanation: first, in order to find the inequalities you should find the gradient by choosing two points from the line and you should you the formula m=y2-y1/x2-x1 to find the gradient.
Next, you should find the y-intercept in order to complete the inequality it can be easily found as the y-intercept is the place where the line crosses the y axis
Then you create your equation { y = -1/2x + 2 } and then if above the line is shaded then it is {> greater than} and if below the line is shaded then it should be {< less than}
(so you should replace the equation with the lesser or greater sign according to the way the graph is shaded)
3/4 - 1/2 = 3/4 - 2/4 = 1/4
7/8 - 2/3 = 21/24 - 16/24 = 5/24
Answer:
Because we actually divide by 10 when a number is multiplied by 0.1.
Step-by-step explanation:
Let
be a number.
When we multiply a number by 10:
(One '0' is increased in the number)
For example:
![23 \times 10 = 230](https://tex.z-dn.net/?f=23%20%5Ctimes%2010%20%3D%20230)
Considering a decimal number:
![2.3 \times 10 = 23](https://tex.z-dn.net/?f=2.3%20%5Ctimes%2010%20%3D%2023)
Multiplying a number with 0.1 (which is actually
) means dividing the number by 10.
![23\times 0.1 =23\times \frac{1}{10}=2.3](https://tex.z-dn.net/?f=23%5Ctimes%200.1%20%3D23%5Ctimes%20%5Cfrac%7B1%7D%7B10%7D%3D2.3)
Considering a decimal number:
![2.3 \times 0.1 = 2.3 \times \frac{1}{10} = 0.23](https://tex.z-dn.net/?f=2.3%20%5Ctimes%200.1%20%3D%202.3%20%5Ctimes%20%5Cfrac%7B1%7D%7B10%7D%20%3D%200.23)
<em>Therefore, When multiplying a number by 0.1, move the decimal to the left.</em>