Answer: 
Step-by-step explanation:
Given the following inequality:

You need to solve for "x" in order to find the solution.
The steps are:
1. Add
to both sides of the inequality:

2. Add
to both sides:

3. Divide both sides by
:

Notice that "x" is less than 8. This indicates that 8 is not included in the solution and you must use parentheses.
The solution in Interval notation is:

Answer:

Step-by-step explanation:
We were given the slope formula;

This line is vertical if the denominator is zero.
That is when 
This implies that;

Justification;
When
, then, the line passes through;
and 
The slope now become

The equation of the line is

This implies that;




... This is the equation of a vertical line.
Answer:
$5520
Step-by-step explanation:
Given data
Principal= $24000
Rate=10%
time= 2 years
Firstly, the compound interest is given as
A=P(1+r)^t
A=24000(1+0.1)^2
A=24000(1.1)^2
A=24000*1.21
A=$29040
The simple interest is given as
A=P(1+rt)
A=24000(1+0.1*2)
A=24000(1.2)^2
A=24000*1.44
A=$34560
Hence the difference is
=34560-29040
=$5520
Answer:
⇒ Add 8x to both sides of the inequality
⇒ x>1/5
Step-by-step explanation:
First, you subtract by 5 from both sides of equation.
5-8x-5<2x+3-5
Solve.
-8x<2x-2
Then subtract by 2x from both sides of equation.
-8x-2x<2x-2-2x
Solve.
-10x<-2
Multiply by -1 from both sides of equation.
(-10x)(-1)>(-2)(-1)
Solve.
10x>2
Divide by 10 from both sides of equation.
10x/10>2/10
Solve to find the answer.
2/10=10/2=5 2/2=1=1/5
x>1/5 is final answer.
Hope this helps!
Answer:
B
Step-by-step explanation:
Notice that if we divide our given equation (2x - 4 = 6) by 2 from both sides, we get:
(2/2)x - (4/2) = (6/2)
x - 2 = 3
Now, notice what happens if we multiply this by -3:
-3 * (x - 2) = 3 * (-3)
-3 * x + (-3) * (-2) = -9
-3x + 6 = -9
This matches B.
Hope this helps!