For the past 20 years, steve has weighed 180 pounds, give or take 5 pounds. Which absolute value inequality represents all possible weights

Question

For the past 20 years, steve has weighed 180 pounds, give or take 5 pounds. Which absolute value inequality represents all possible weights for steve?​

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Mít Mít 6 months 2021-07-22T15:32:17+00:00 1 Answers 5 views 0

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  1. Vodka
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    2021-07-22T15:34:06+00:00
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    Answer:

    175 ≤ x ≤ 185

    Step-by-step explanation:

    Given that :

    Steve’s weight for the past 20 years = 180 pounds ; give or take 5 pounds

    The average weight of 180 has stayed within range of plus or minus 5 pounds of the mean weight

    |x – 180| ≤ 5

    x – 180 ≤ 5

    x ≤ |5 + 180|

    x ≤ 185

    Also:

    |x – 180| ≥ – 5

    x – 180 ≥ – 5

    x ≥ |-5 + 180|

    x ≥ 175

    Hence, Steve’s range of possible weight :

    175 ≤ x ≤ 185

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