Miles read $4$ books in the first half of March. By the end of March, the library had added Miles to the top-readers board for reading more than $10$ books in a month. $\newline$ Let $x$ represent how many books Miles read in the second half of March. Which inequality describes the problem? $\newline$ $4+x \geq 10 \quad 4+x>10$ $\newline$ Solve the inequality. Then, complete the sentence to describe the solution. $\newline$ Miles read more than $\square$ books in the second half of March.

Full solution

Q. Miles read

4

books in the first half of March. By the end of March, the library had added Miles to the top-readers board for reading more than

10

books in a month.

\newline

Let

x

represent how many books Miles read in the second half of March. Which inequality describes the problem?

\newline

4+x \geq 10 \quad 4+x>10

\newline

Solve the inequality. Then, complete the sentence to describe the solution.

\newline

Miles read more than

\square

books in the second half of March.

Define the problem: Step $1$ : Define the problem in terms of an inequality. $\newline$ Miles read $4$ books in the first half of March and needs to have read more than $10$ books in total by the end of March. Let $x$ be the number of books he read in the second half of March. The inequality to describe this situation is $4 + x > 10$ .
Solve the inequality: Step $2$ : Solve the inequality. $\newline$ Starting with the inequality $4 + x > 10$ . $\newline$ Subtract $4$ from both sides to isolate $x$ : $\newline$ $4 + x - 4 > 10 - 4$ $\newline$ $x > 6$
Interpret the solution: Step $3$ : Interpret the solution. $\newline$ Since $x > 6$ , Miles must have read more than $6$ books in the second half of March to meet the condition of being on the top-readers board.