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Describe and correct the errors in solving the absolute value inequality

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5x + 4/> 13

x+4 -13 and x + 4 <13

x>-17 and

X<9

-17
22

There is an arithmetic error in both rewritten inequalities. The correct solution is -9<< < 17

The inequality symbols should be reversed. The correct solution is 9 > I > -17

The two inequalities should be written as one inequality -13 < 3+4 < 13. The correct solution is -17 <3 <9.

The compound inequalities should be joined by "or;" and both inequality symbols should be reversed. The correct solution is

< 17 ore 9.

Respuesta :

abidemiokin

Answer:

Step-by-step explanation:

Given the inequality [tex]|x+4|>13[/tex], to solve, we will solve the negative and positive value of the modulus for x as shown:

If the modulus is positive:

[tex]x+4>13\\[/tex]

subtract 4 from both sides

[tex]x+4-4>13-4\\x>9[/tex]

If the modulus is negative

[tex]-(x+4)>13\\-x-4>13\\[/tex]

Add 4 to both sides

[tex]-x-4+4>13+4\\-x>17[/tex]

Multiply both sides by -1

[tex]-(-x)<-17\\x<-17\\-17>x[/tex]

Combine both inequalities. If:

[tex]x>9\\[/tex]

Combining with [tex]-17>x[/tex] will give:

[tex]-17>x>9[/tex]