dariababinp8ueh5
dariababinp8ueh5 dariababinp8ueh5
  • 03-07-2018
  • Mathematics
contestada

Solve the inequality. Graph the solution. 2 ∣ ∣ x+ 1 3 ∣ ∣ <9

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Matheng
Matheng Matheng
  • 05-07-2018
The given inequality is

[tex]2 \ \lvert x +13\rvert \ \textless \ 9[/tex] ⇒ divide both sides over 2


∴  [tex]\lvert x +13\rvert \ \textless \ 4.5[/tex]

According to the absolute rules

x + 13 < 4.5    OR    x + 13 > -4.5 
                        ║
x < 4.5 - 13      ║     x > -4.5 -13      
                        ║
x < -8.5            ║     x > -17.5

So, x ∈ (-17.5 , -8.5)


See the attached figures.
Ver imagen Matheng
Ver imagen Matheng
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