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