Question

A high school teacher earns an average bi-weekly net pay of $1,541.65. which compound inequality correctly shows the amount of money, m, the teacher can spend if the monthly budget for housing is between 25% and 35%? $385.41 ≤ m ≤ $539.58 $668.05 ≤ m ≤ $1,002.07 $770.83 ≤ m ≤ $1,079.16 $835.06 ≤ m ≤ $1,169.08

Answers

  1. The correct inequality according to the given situation of the teacher would be (A) $385.41 ≤ m ≤ $539.58.

    What is inequality?

    In mathematics, “inequality” refers to a relationship between two expressions or values that are not equal to one another.
    When resolving an inequality, you can do one of the following: • Add the same amount to each side; Subtract the same amount from each side; Multiply or divide each side by the same positive amount.
    We must flip the inequality sign if you multiply or divide each side by a negative number.
    So, we know that teacher earns:
    $1,541.65
    25% of $1,541.65:
    1,541.65/100 * 25
    $385.4125
    35% of $1,541.65:
    1,541.65/100 * 35
    $539.5775
    Inequality: $385.4125 < x < $539.5775
    Rounding off: $385.41 ≤ m ≤ $539.58

    Therefore, the correct inequality according to the given situation of the teacher would be (A) $385.41 ≤ m ≤ $539.58.

    Know more about inequality here:
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    Correct question:
    A high school teacher earns an average bi-weekly net pay of $1,541.65. which compound inequality correctly shows the amount of money, m, the teacher can spend if the monthly budget for housing is between 25% and 35%.
    a. $385.41 ≤ m ≤ $539.58
    b. $668.05 ≤ m ≤ $1,002.07
    c. $770.83 ≤ m ≤ $1,079.16
    d. $835.06 ≤ m ≤ $1,169.08

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