(01.05 LC)

Which of the following is an equivalent form of the compound inequality −44 > −2x − 8 ≥ −48?

−2x − 8 > −44 and −2x − 8 ≥ −48
−2x > −44 and −8 ≥ −48
−2x − 8 < −44 and −2x − 8 ≤ −48
−2x − 8 < −44 and −2x − 8 ≥ −48

Respuesta :

The equivalent form of the  compound inequality  are −2x − 8 < -44 and −2x − 8 ≥ −4

Compound inequality

Inequality are expression not separated by an equal sign. Given the compound inequality

−44 > −2x − 8 ≥ −48?

Add 8 to all the sides

−44 + 8> −2x − 8+8 ≥ −48 + 8

−36 > −2x  ≥ −40

This can be also be written as

−44 > −2x − 8 and −2x − 8 ≥ −48

Changing the sides will change the sign to have

−2x − 8 < -44 and −2x − 8 ≥ −48

Hence the equivalent form of the  compound inequality  are −2x − 8 < -44 and −2x − 8 ≥ −4

Learn more on inequality here: https://brainly.com/question/11613554

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