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