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Karo-lina-s [1.5K]
3 years ago
5

What is different between solving inequalities and absolute value inequalities?

Mathematics
2 answers:
notka56 [123]3 years ago
6 0

Answer:

Solving Inequalities are different because in Absolute Value Inequalities the values always have to be positive and in Solving Inequalities doesn't always have to be positive.

Step-by-step explanation:

Ivenika [448]3 years ago
5 0

Answer:

The absolute number of a number a is written as

|a|

And represents the distance between a and 0 on a number line.

An absolute value equation is an equation that contains an absolute value expression. The equation

|x|=a

Has two solutions x = a and x = -a because both numbers are at the distance a from 0.

To solve an absolute value equation as

|x+7|=14

You begin by making it into two separate equations and then solving them separately.

x+7=14

x+7−7=14−7

x=7

or

x+7=−14

x+7−7=−14−7

x=−21

An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative.

The inequality

|x|<2

Represents the distance between x and 0 that is less than 2

Whereas the inequality

|x|>2

Represents the distance between x and 0 that is greater than 2

You can write an absolute value inequality as a compound inequality.

−2<x<2

This holds true for all absolute value inequalities.

|ax+b|<c,wherec>0

=−c<ax+b<c

|ax+b|>c,wherec>0

=ax+b<−corax+b>c

You can replace > above with ≥ and < with ≤.

When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.

Step-by-step explanation:

Hope this helps :)

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One warehouse had 185 tons of coal, another one had 237 tons. The first warehouse delivered 15 tons of coal to its clients daily
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Answer:

In 9 days will the second warehouse have 1.5 times more coal than the first one

Step-by-step explanation:

The coal left in warehouses after x days can be found using the equation:

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Let the second warehouse have 1.5 times more coal than the first one after n days then  

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  2. 277,5-22,5n=237-18n and
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Can anyone identify the two variables
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Step-by-step explanation:

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Also, if a function is an odd function, then, f(-x) = -f(x)

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Substitute 2 for x in the function

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5 0
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