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

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asked Sep 3, 2019 44.9k views

1 Answer

Indiano · Answer 1 · 2019-09-09T23:26:19+0000

The given inequality is

$2 \ \lvert x +13\rvert \ \textless \ 9$ ⇒ divide both sides over 2

∴
$\lvert x +13\rvert \ \textless \ 4.5$

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.

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

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

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

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