Respuesta :

Stephen46

Answer:

[tex] - {4} < x < - 6 \\ [/tex]

Step-by-step explanation:

[tex]5 < - 4x - 11 < 13[/tex]

Add 11 to both sides of the inequality to make - 4x stand alone

[tex]5 + 11 < - 4x - 11 + 11 < 13 + 11 \\ 16 < - 4x < 24[/tex]

Divide both sides by - 4

[tex] - \frac{16}{4} < \frac{ - 4x}{ - 4} < - \frac{24}{4} \\ - {4} < x < - 6[/tex]

Reverse the signs

We have the final answer as

[tex] - 4 > x > - 6 \\ [/tex]

Hope this helps you

Answer:

-4>x>-6

Step-by-step explanation:

to understand this

you need to know about:

  • inequality
  • PEMDAS

tips and formulas:

the direction of inequality does not change when you

  • add or subtract a number from both sides
  • multiply or divide both sides by a positive number
  • simplify a side

the direction of inequality does change when you

  • multiply or divide both sides by negative number
  • swapping left and right hand side

let's solve:

[tex] step - 1 : define[/tex]

[tex] \sf 5 < - 4x - 11 < 13[/tex]

[tex] step - 2 : solve[/tex]

  1. [tex] \sf add \: 11 \: to \: every \: sides : \\ \sf 5 + 11 < - 4x - 11 + 11 < 13 + 11 \\ \sf16 < - 4x < 24[/tex]
  2. [tex] \sf \: divide \: both \: sides \: by \: - 4 \: and \: swap \: the \: inequalities : \\ \sf \sf - 4 > x > - 6[/tex]