andrianadenise andrianadenise
  • 04-07-2020
  • Mathematics
contestada

Solve: -7 < 2x+5 < 7

Respuesta :

mani82ebra
mani82ebra mani82ebra
  • 04-07-2020

Answer:

[tex] - 6 < x < 1[/tex]

Step-by-step explanation:

first things first:

[tex] - 7 < 2x + 5 \\ - 7 - 5 < 2x + 5 - 5 \\ - 12 < 2x \\ - 6 < x[/tex]

now:

[tex]2x + 5 < 7 \\ 2x + 5 - 5 < 7 - 5 \\ 2x < 2 \\ x < 1 [/tex]

now the intersection is:

[tex] - 6 < x < 1[/tex]

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