swordofthelordp7hvx3 swordofthelordp7hvx3
  • 22-03-2019
  • Mathematics
contestada

Solve |x| + 7 < 4.

1. {x | x < -11 or x > -3}
2. {x | -3 < x < 3}
3. Ø

Respuesta :

gmany
gmany gmany
  • 23-03-2019

Answer:

3. Ø

Step-by-step explanation:

[tex]|a|=a\ \text{for}\ a\geq0\\\\|a|=-a\ \text{for}\ a<0[tex]|x|+7<4\qquad\text{subtract 7 from both sides}\\\\|x|+7-7<4-7\\\\|x|<-3\to x\in\O\ \text{because}\ |x|\geq0\ \text{for any value of }\ x.[/tex]===================[/tex]

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