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To confirm the validity of the solution, the maximum value of 35 is tested against the problem's original condition. If Jessica starts with 35 apps and downloads 10 more, her total becomes 45 ($$ 35 + 10 = 45 $$). This total is less than 50, satisfying the inequality and thus verifying that 35 is the correct maximum value.

Verifying the Solution for Jessica's Apps Problem

A student was asked to solve a problem and verify their answer. Read the problem and the student's verification, then evaluate the student's work. Is their verification process complete and correct? Explain your reasoning.

Evaluating a Solution Verification

A problem requires that a starting number, `y`, must be a multiple of 4. When 8 is added to `y`, the result must be strictly less than 45. A student proposes that the maximum possible value for `y` is 36. Read the student's justification below and explain the primary error in their verification method.

Critique of a Solution Verification

A problem states that an initial number of items, `x`, must be a multiple of 10. After 15 more items are added, the new total must be less than 70. A student proposes that the maximum possible initial number of items is 50. Which statement best evaluates this proposal by checking it against the problem's conditions?

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