Write a compound inequality to represent each situation. solve and check. If James is able to earn an extra $200 this weekend, his monthly income will be between $1500 and $2000 for his job at a local restaurant. What is the normal range of James monthly income? Let i=James' monthly income.
1500 <= i+200 <= 2000
To represent James' monthly income between $1500 and $2000, we can write the compound inequality as:
$1500 ≤ i ≤ $2000
To find the normal range of James' monthly income, we can exclude the $200 extra he earned this weekend. So, we need to subtract $200 from both ends of the inequality:
$1500 - $200 ≤ i - $200 ≤ $2000 - $200
Which simplifies to:
$1300 ≤ i ≤ $1800
Therefore, the normal range of James' monthly income is between $1300 and $1800.