dimplz1974
dimplz1974 dimplz1974
  • 11-08-2021
  • Mathematics
contestada

Solve the inequality.
|11 – xl < 20
[?] < x < [ ]

Solve the inequality 11 xl lt 20 lt x lt class=

Respuesta :

Аноним Аноним
  • 11-08-2021

Answer:

-9<x<31

Step-by-step explanation:

|11 – xl < 20

There are two solutions, one positive and one negative, remember to flip the inequality for the negative

11-x < 20       and 11 -x > -20

Subtract 11 from each side

11-x-11 <20-11   and 11-x-11 >-20-11

-x <9  and -x > -31

Multiply each side by -1, remembering to flip the inequality

x>-9  and x< 31

-9<x<31

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