Rewrite the following without the absolute value symbols.|x-11|<6x<5x>17 or x<5x<17 or x> 5x>17x>17 and x<5

Globokim8

Globokim8

Answered question

2021-05-02

Rewrite the following without the absolute value symbols.
|x11|<6
x<5
x>17 or x<5
x<17 or x>5
x>17
x>17 and x<5

Answer & Explanation

Jayden-James Duffy

Jayden-James Duffy

Skilled2021-05-03Added 91 answers

Step 1
|x11|<6 can be written as
6<(x11)<6
Step 2
Now we add 11 in every part of the inequality and solve for the absolute values of x.
6+11<(x11)+11<6+11
=5

Step 3
Or we can write it as
x>5 & x<17

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