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Solve the compound inequality 2x > –10 and 3x < 24

5 > x > –8


5 > x < –8


–5 < x < 8


–5 < x > 8

Respuesta :

Iran19
I think it's the third option.

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

[tex]2x>-10---------------------------(1)[/tex]

and

[tex]3x<24------------------------------(2)[/tex]

From eq(1), we have

[tex]\dfrac{2x}{2}>\dfrac{-10}{2}\\\\x>-5[/tex]

From eq(2), we have

[tex]3x<24\\\\\dfrac{3x}{3}<\dfrac{24}{3}\\\\x<8[/tex]

So, compound inequality becomes

[tex]-5<x<8[/tex]

Hence, Third option is correct.

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