Which of the following is an equivalent form of the compound inequality −22−5x−7≥−3 ?

Question

Which of the following is an equivalent form of the compound inequality −22>−5x−7≥−3  ?

amistre64 · Answer

im assuming you just solve for x

jenniferjuice · Answer

−5x − 7 < −22 and −5x − 7 ≥ -3 −5x − 7 > −22 and −5x − 7 ≥ -3 −5x > −22 and −7 ≥ -3 −5x − 7 < −22 and −5x − 7 ≥ -3

jenniferjuice · Answer

those are the options

amistre64 · Answer

clean it up, let u = that middle mess

−22 > −5x−7 ≥ −3

−22 > u  ≥ −3,  just split it apart

−22 > u,  u  ≥ −3  and flip it around so u is in front

u < -22 and  u  ≥ −3

amistre64 · Answer

i actually like to get them flipped around so that the arrow points to the left ... helps me to visualise it better

u < -22 and  -3 <= u

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