create your own word problem or real world scenario that could be modeled using the inequality below.
8 + x > 100
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I only got 8 on the last question on this quiz, how many more points do I need to have over 100 ?
Word Problem:
Sarah is saving up money to buy a new video game console. Currently, she has $8 saved. She wants to figure out how much more money, x, she needs to reach her goal of $100. She knows that she needs to save more in order to afford the console. She sets up the inequality 8 + x > 100 to represent the situation.
Explanation of the Inequality:
In the inequality 8 + x > 100, "x" represents the additional money Sarah needs to save, and the inequality sign ">" indicates that the sum of 8 and x must be greater than 100 for Sarah to reach her goal.
Solution:
To solve the inequality, we need to isolate the variable "x" by performing the inverse operations.
Starting with the inequality 8 + x > 100:
1. Subtract 8 from both sides: (8 + x) - 8 > 100 - 8
Simplifying, we get: x > 92
Therefore, Sarah needs to save more than $92 in order to reach her goal of $100 for the video game console.