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The problem specifies that if Jessica adds 10 more apps to her original number, 'x', the new total, represented by the expression $$x + 10$$, must be less than 50. This condition is formally expressed as the mathematical inequality $$x + 10 < 50$$.

Formulating the Inequality for the Total Number of Apps (Jessica's Apps Problem)

By solving the inequality $$x + 10 < 50$$, we can determine the upper limit for the original number of apps Jessica could have. Subtracting 10 from both sides of the inequality yields the result $$x < 40$$, meaning the original number of apps must be less than 40.

Solving the Inequality for the Upper Bound of Apps (Jessica's Apps Problem)

A baker has 'c' cookies on a tray. After baking 24 more cookies and adding them to the tray, the total number of cookies is still fewer than 100. Which inequality correctly represents this situation?

A school library has 'b' books. After receiving a donation of 75 new books, the total number of books is now more than 2,000. The inequality `b + 75 < 2000` is a correct mathematical representation of this situation.

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