Your parents heard about the success of your business and they want to help you out. Suppose they want to give you an additional $300 to put toward your business. However, there's a catch. If you make more than $600 additional profit, you have to give them 10% of your earnings above $600. For example, if you have earned $650, then you owe 10% of $50, or $5, to your parents.
Now that you have an additional $300 revise youre inequality from part a to reflect youre new spending limit . Solve the inequality
Let x be the additional profit made by the business.
The revised inequality is:
x ≤ 600 + 300
x ≤ 900
Solving this inequality:
x ≤ 900
Part a: The original inequality was X > $600.
Now, with an additional $300, the new spending limit is $900.
The revised inequality is X > $900.
To solve the new inequality, we need to find the values of X that are greater than $900.
To revise the inequality, let's first define the variables:
Let x be the additional profit you make from your business after receiving the $300 from your parents.
The original inequality was:
x > 600
Considering the additional $300 you received from your parents, the revised inequality should reflect your new spending limit. To do this, we need to subtract $300 from both sides of the inequality:
x - 300 > 600 - 300
Simplifying further:
x - 300 > 300
Now we can solve the inequality:
x > 300 + 300
x > 600
Therefore, the revised inequality is:
x > 600