For all values of x less than 7.5 the above inequality satisfies , i.e 
<u>Step-by-step explanation:</u>
Inequalities are the relationships between two expressions which are not equal to one another. The symbols used for inequalities are <, >, ≤, ≥ and ≠.
reads as '7 is greater than x' (or ' x is less than 7', reading from right to left).
reads as ' x is less than or equal to -4' (or '-4 is greater than or equal to x', reading from right to left).
reads as ‘ x is not equal to 5.
Here , we have
{ Dividing both sides by 2. }
∴ For all values of x less than 7.5 the above inequality satisfies.
Answer:
False. See te explanation an counter example below.
Step-by-step explanation:
For this case we need to find:
for all 
and for 
in the Markov Chain assumed. If we proof this then we have a Markov Chain
For example if we assume that 
then we have this:
Because we can only have if we have this:
, from definition given 
With 
we have that 
So based on these conditions 
would be 1 with probability 1/2 from the definition.
If we find a counter example when the probability is not satisfied we can proof that we don't have a Markov Chain.
Let's assume that 
for this case in order to satisfy the definition then 
But on this case that means 
and on this case the probability 
, so we have a counter example and we have that:
for all 
so then we can conclude that we don't have a Markov chain for this case.
Answer:
$1350
Step-by-step explanation:
Given she sold the car 10% less than what she bought it, amount she sold the car will be 10% of the amount she bought the car subtracted from the amount she bought he car .
She bought the car for $1500
Therefore,
10% of $1500
10% /100% x $1500
0.1 x $1500
$150
Now , amount she sold the car = $1500 - $150
= $1350
She sold the car for $1350
