STEP-BY-STEP SOLUTION:
Let's first establish the inequality which we need to solve as displayed below:
y + 1 < 3
To begin with, we need to make ( y ) the subject by keeping it on the left-hand side of the inequality and placing all other numbers on the right-hand side of the equality as displayed below:
y + 1 < 3
y < 3 - 1
Then, we simply simplify / solve as displayed below:
y < 3 - 1
y < 2
ANSWER:
y < 2
You can formulate your own equations by analyzing the given problem and its statements. You can do some illustrations so you can understand it better. Introduce some variables and the rest is algebra. For example:
An orange costs $2 while a banana costs $1.5. How many oranges and bananas do you have to buy such that the total cost would equal to $20. You bought a total of 12 fruits.
First, you have to introduce variables. Let 'x' be the number of oranges and 'y' be the number of bananas. One equation you can get from here is knowing the amount of total cost: 2x + 1.5y = 20. Then, the other equation would be knowing the amount of fruits: x+y=12. You have two unknowns and two equations. Hence, you can solve the problem. Solving them simultaneously, you would get that x=4 and y=8.
6x + 4y = 12...subtract 6x from both sides
4y = -6x + 12 ...divide both sides by 4
(4/4)y = (-6/4)x + 12/4...reduce
y = -3/2x + 4 <== y = mx + b
To find the area that is shaded red, you find the area of the rectangle and subtract it by the area of the triangle.
Area of a rectangle:
A = l × w [ l = 11 in ; w = 6in ] Plug these numbers into the equation
A = 11 · 6
A = 66 in²
Area of a triangle:
[ b = 4 in ; h = 6 in ] Plug these #s into the equation
A = 12 in²
Area of rectangle - Area of triangle = Area of the shaded region
66 in² - 12 in ² = 54 in²
Your answer is B
Answer: y=6
Step-by-step explanation:
The given number is y.
According to the question,
Step 1 . subtracts three from the number (y-3), then doubles it
i.e. Final number = 2(y-3)
Step 2 . subtracts three again i.e. (2(y-3)-3), and doubles the number again
i.e. Final result = 2(2(y-3)-3)
If the result is his original number y, then
2(2(y-3)-3) =y
⇒ 2(2y-6-3)=y [ using distributive property]
⇒ 2(2y-9)=y
⇒ 2(2y)-2(9)=y [ using distributive property]
⇒ 4y -18=y
⇒ 4y -y= 18
⇒ 3y= 18
⇒ y= 6 [Divide both sides by 3]
Hence, y=6
