David is starting a collection of baseball cards. He currently has 16 cards in his collection. He hopes to buy 5 more each month. Write and solve an inequality that can be used to find the least number of weeks it will take him to collect 50 cards.

The inequality equation that can be used to find the least number of weeks it will take him to collect 50 cards is 5x+16>50 and the least number of weeks is 6.8.

Inequality equation:

Inequality equation compares two expressions, showing if one is less than, greater than, or not equal to another one
The inequality equations are formed by using operators like <, >, ≤, ≥, and ≠.
Solving them is similar to how we solve normal equations.

Writing an inequality equality equation for the given data:

Given that,

David is starting a collection of baseball cards. He currently has 16 cards in his collection, He hopes to buy 5 more each month. So, calculating for the least number of weeks, this will take him to collect 50 cards

Here, consider the variable x for the least number of weeks

he already has16 cards in his collection and he aims to collect 50 card

Therefore, the inequality equation can be written as,

5x+16>50

Solving the inequality:

5x+16>50

Subtracting 16 from both sides

⇒ 5x+16-16>50-16

⇒ 5x>34

⇒ x>6.8

Therefore, the least number of weeks is 6.8 which will take him to collect 50 cards and it is given by the inequality equation 5x+16>50.

Learn more about inequality here:

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