Using interval notation to express all real numbers less than or equal to
a Or greater than or equal to
b
Write the interval expressing all real numbers less than or equal to
or greater than or equal to
We have to write two intervals for this example. The first interval must indicate all real numbers less than or equal to 1. So, this interval begins at
and ends at
which is written as
The second interval must show all real numbers greater than or equal to
which is written as
However, we want to combine these two sets. We accomplish this by inserting the union symbol,
between the two intervals.
When we work with inequalities, we can usually treat them similarly to but not exactly as we treat equalities. We can use the
addition property and the
multiplication property to help us solve them. The one exception is when we multiply or divide by a negative number; doing so reverses the inequality symbol.
Properties of inequalities
These properties also apply to
and
Demonstrating the addition property
Illustrate the addition property for inequalities by solving each of the following:
(a)
(b)
(c)
The addition property for inequalities states that if an inequality exists, adding or subtracting the same number on both sides does not change the inequality.
Solving inequalities in one variable algebraically
As the examples have shown, we can perform the same operations on both sides of an inequality, just as we do with equations; we combine like terms and perform operations. To solve, we isolate the variable.
Solving an inequality algebraically
Solve the inequality:
Solving this inequality is similar to solving an equation up until the last step.
The solution set is given by the interval
or all real numbers less than and including 1.
is it possible to leave every good at the same level
Joseph
I don't think so. because check it, if the demand for chicken increases, people will no longer consume fish like they used to causing a fall in the demand for fish
Anuolu
is not really possible to let the value of a goods to be same at the same time.....
Salome
Suppose the inflation rate is 6%, does it mean that all the goods you purchase will cost
6% more than previous year? Provide with reasoning.
Not necessarily. To measure the inflation rate economists normally use an averaged price index of a basket of certain goods. So if you purchase goods included in the basket, you will notice that you pay 6% more, otherwise not necessarily.
Good day
How do I calculate this question: C= 100+5yd G= 2000 T= 2000 I(planned)=200.
Suppose the actual output is 3000. What is the level of planned expenditures at this level of output?
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Sekou
ma management ho
Amisha
ahile becheclor ho
Amisha
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ani k kaam grnu hunxa tw
Amisha
belatari
Amisha
1st year ho
Amisha
nd u
Amisha
ahh
Amisha
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Amisha
ys
Amisha
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Amisha
money as unit of account means what?
Kalombe
A unit of account is something that can be used to value goods and services and make calculations
Jim
all of you please speak in English I can't understand you're language
Muhammad
I want to know how can we define macroeconomics in one line
Muhammad
it must be .9 or 0.9
no Mpc is greater than 1
Y=100+.9Y+50
Y-.9Y=150
0.1Y/0.1=150/0.1
Y=1500
Kalombe
Mercy is it clear?😋
Kalombe
hi can someone help me on this question
If a negative shocks shifts the IS curve to the left, what type of policy do you suggest so as to stabilize the level of output?
discuss your answer using appropriate graph.