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Irene made a mistake when she solved this inequality: Step 1: -6(x + 3) + 10 < -2 Step 2: -6x − 18 + 10 < -2 S
Question
Irene made a mistake when she solved this inequality:
Step 1: -6(x + 3) + 10 < -2
Step 2: -6x − 18 + 10 < -2
Step 3: -6x − 8 < -2
Step 4: -6x < 6
Step 5: x < -1
Between which two consecutive steps did Irene make a mistake?
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Mathematics
4 years
2021-07-27T12:40:56+00:00
2021-07-27T12:40:56+00:00 1 Answers
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Answer:
she messed up on step two because she has to subtract 10 from both sides
Step-by-step explanation:
step 1: -6(x+3)+10<-2
step2:-6(x+3)+10-10<-2-10
step3: -6(x+3)<-12
step4: (-6)(x+3)(-1)≥(-12)(-1)
step5:6(x+3)>12
step6:divide both sides by 6
step7:simplify and subtract 3 from both sides and then simplify again