Answer:
Step-by-step explanation:
From the picture attached,
Number line Inequality
1). Arrow starting with a solid point from x = -2 x ≤ -2
directing towards negative numbers of x 2).Arrow starting with a hollow circle from x = 2 x >2
directing towards positive numbers of x
3). Arrow starting with a hollow circle from x = 2 x < 2 ⇒ x - 2 < 0
directing towards negative numbers of x
4). Arrow starting with a solid circle from x = 2 x ≥ 2 Or 2 ≤ x
directing towards positive numbers of x
5). Arrow starting with a hollow circle from x = -2 x > -2
directing towards positive numbers of x
Answer:
The inequality is 
Step-by-step explanation:
Given : The isosceles triangle with base and side 4x+3, 2x+7.
And the perimeter is at least 137ft.
To write : An inequality for x
Solution : Let the base 
and sides 
The perimeter of Isosceles triangle is 
where s=side and b=base
Now, we have given that perimeter is at least 137 ft.
Therefore, the inequality form is
This is a combination problem. The approach to this is by using the nCr method, where n is the number of total objects and r is the number of success. For example, if you want to get 3 red out of the total 4, then that would be 4C3. That means,
4C3 = 4!/3!(4 - 3)! = 4 ways
If you want to get 2 green out of the total 6, then that would be 6C2. That means,
6C2 = 6!/2!(6-2)! = 15 ways
Therefore, there are a total of 4+15 = <em>19 ways</em>.
Perimeter formula
p = 2l + 2w
I reverse left-right side
2l + 2w = p
Move 2l to the right
2l + 2w = p
2w = p - 2l
Move 2 to the right
2w = p - 2l
w = (p - 2l)/2
Summary
p = 2l + 2w
2l + 2w = p
2w = p - 2l
w = (p-2l)/2
