2x-1 < x+3
5x-1 > 6-2x
x-5 < 0
solve the inequality for x.
x < 4
x > 1
X < 5
find the intersection
X ∑ {1,4}
Alternative form: {x I 1 < x < 4}
∑ indicates summation and is used as a shorthand notation for the sum of terms that follow a pattern. For example, the sum of the first 4 squared integers, 12+22+32+42, follows a simple pattern: each term is of the form i2, and we add up values from i=1 to i=4.
When writing the equation keep in mind that 7 + x is said as a term that is squared so it has to be squared while it's still together; (7 + x)².
Missing term = –2xy
Solution:
Let us first find the quotient of
.


Taking common term xy outside in the numerator.

Both xy in the numerator and denominator are cancelled.

Thus, the quotient of
is
.
Given the quotient of
is same as the product of 4xy and ____.
× missing term
Divide both sides by 4xy, we get
⇒ missing term = 
Cancel the common terms in both numerator and denominator.
⇒ missing term = –2xy
Hence the missing term of the product is –2xy.
Answer: On a coordinate plane, 2 triangles are formed with a line with points (0, 2) and (x, y). A triangle has a rise of 1 and run of 2. Another triangle has a rise of 3 and run of 6.
Step-by-step explanation: Hope this helped if not just reply, I'll answer when I get a chance
Answer:
Number 7: 
This graph displays the change in wage per years of service. Since the slope is positive, this means the wage has a positive growth.
Number 8: 
This graph displays the amount of people evacuating per hour. Since the slope is negative, this means the amount of people evacuating per hour is reducing.
Step-by-step explanation:
Number 7:
Step 1: Identify the points on the line to use for slope formula.
The two points are (2, 11) and (6, 17).
and
will be 
and
will be 
Step 2: Plug in points into slope formula.


Step 3: Subtract.

Step 4: Simplify.
improper fraction: 
mixed number: 
decimal: 
Number 8:
Step 1: Identify the points on the line to use for the slope formula.
The two points are (3, 1200) and (6, 800)
and
will be 
and
will be 
Step 2: Plug in points into slope formula.


Step 3: Subtract.

Step 4: Simplify.
Cannot be simplified further.
mixed number: 
decimal: 