Question

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the number of oranges left is the difference of the total number of oranges (213) and the number of oranges theresa has already bagged (3x).
the expression 213 − 3x (or -3x + 213) represents the number of oranges that have yet to be bagged.

part c
write an inequality using the expression from part b to represent this scenario.

space used(includes formatting): 0 / 30000

Explanation:

Step1: Understand the scenario

We know the expression for oranges left is \(213 - 3x\). Typically, in such scenarios (like having a positive number of oranges left, or having at least some, or at most some), we assume the number of oranges left should be non - negative (since we can't have a negative number of oranges). So we set up an inequality where the expression for oranges left is greater than or equal to 0.

Step2: Write the inequality

Using the expression \(213 - 3x\) (or \(- 3x+213\)) and the fact that the number of oranges left should be non - negative (we can't have a negative number of oranges remaining), the inequality is \(213-3x\geq0\) (or \(-3x + 213\geq0\)).

Answer:

\(213 - 3x\geq0\) (or \(-3x + 213\geq0\))