Question

rule for negatives in two-step inequalities
this activity will help you meet these educational goals:
mathematical practices—you will make sense of problems and solve them, reason abstractly and quantitatively, attend to precision, look for and make use of structure, and look for and express regularity in repeated reasoning.
directions
read the instructions for this self - checked activity. type in your response to each question, and check your answers. at the end of the activity, write a brief evaluation of your work.
activity
theresa volunteers at a food shelf. today she is filling bags of oranges. when she started, there were 213 oranges. after filling x bags with 3 oranges each, there were fewer than 51 oranges left. how many bags of oranges did theresa fill?
complete the steps below to solve the problem.
part a
write an expression in terms of x for the number of oranges that theresa bagged.

Explanation:

Step1: Analyze the problem

We know that Theresa fills \( x \) bags with 3 oranges each. To find the number of oranges she bagged, we need to multiply the number of bags by the number of oranges per bag.

Step2: Form the expression

The number of oranges per bag is 3, and the number of bags is \( x \). So the number of oranges she bagged is \( 3\times x \), which can be written as \( 3x \).

Answer:

\( 3x \)