toneymeyers7 toneymeyers7
  • 25-10-2018
  • Mathematics
contestada

Solve the inequality |x − 6| − 10 < 1 Write the answer as a compound inequality
Answers are;
−5 > x > 17
−11 < x < 11
x < 17
−5 < x < 17

Respuesta :

Awste
Awste Awste
  • 29-10-2018
|x-6| < 1 + 10 (move 10 to the right side)
|x-6| < 11

1)x-6 < 11 (here x >= 6)
2)-x+6 < 11 (here x < 6)

1)x<17
2)x>-5

so we get -5 < x < 17

the answer: (-5; 17)
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