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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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andrey2020 [161]

15% of $269.99 = 0.15 x 269.99 = $40.50 (nearest cent)


Answer: $40.50

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3 years ago
One survey estimates that,on average, the retail value of a mid sized car decreases by8% annually.if the retail value of a car i
Scrat [10]
Percentage by which the average value of mid sized car decreases each year = 8%
Retail value of a car today = v dollars
Amount of decrease in the value of the car after 1 year = (8/100) * v
                                                                                         = 2v/25 dollars
Then
The equation that represents the value of the car after 1 year = v - (2v/25) dollars
                                                                                                   = (25v - 2v)/25 dollars
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So following this expression the value of the mid sized car can be easily determined after 1 year. I hope this is the answer you were looking for and the procedure is also clear to you.
5 0
3 years ago
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Solve for x.<br> 3x = 2/5<br><br> A) 1/4<br> B) 2/15<br> C) 5/6<br> D) 6/5
mafiozo [28]

Answer:

B:2/15

Step-by-step explanation:

Divide both sides by 3

x=2/15

Hope this helped!

:)

5 0
3 years ago
(x+1)(5x-2) multiplying binomial
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Answer:

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Step-by-step explanation:

you use the distributive property to multiply these together


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Answer:

(B) 5/6 ·13÷4

(C) 5/6 ÷4·13

(D) 5/6 · 13/4

Step-by-step explanation:

Amount of paint per can = \[\frac{5}{6}\] liters.

Number of cans used to paint 4 cars = 13

Total amount of paint used for 4 cars = \[13 * \frac{5}{6}\] liters.

= \[\frac{13 * 5}{6}\] liters.

= \[\frac{65}{6}\] liters.

Total amount of paint used for 1 car = \[\frac{65}{6} \div 4\] liters.

= \[\frac{65}{24}\] liters.

Of the given options, option B,C and D correspond to the same value.

3 0
3 years ago
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