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Solve and graph the compound inequality  `-6lt=3(x+5)lt=18` . can you show me the...

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quddoos | Valedictorian

Posted September 16, 2013 at 10:15 PM via web

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Solve and graph the compound inequality  `-6lt=3(x+5)lt=18` .

can you show me the calculations please!

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mjripalda | High School Teacher | (Level 3) Educator

Posted September 17, 2013 at 12:35 AM (Answer #1)

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`-6lt=3(x+5)lt=18`

To have x only at the middle, divide both ends by 3.

`(-6)/3lt=(3(x+5))/3lt=18/3`

`-2lt=x+5lt=6`

And, subtract both sides by 5.

`-2-5lt=x+5-5lt=6-5`

`-7lt=xlt=1`

Hence, the solution to the inequality equation is ` -7lt=xlt=` 1 .

(See image below for the graph of the compound inequality.)

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