Question

interactive practice: write and solve inequalities a bookstore offers a gift card to anyone who donates more than 40 pounds of used books. liliana has 7 textbooks she can donate. each textbook weighs 3 pounds. liliana wants to know how many 2 - pound hardcover books, h, she needs to donate, along with the textbooks, to qualify for the gift card. 7·3 + 2h > 40 solve the inequality 7·3 + 2h > 40. h? ?

Explanation:

Step1: Calculate 7×3

$7 \cdot 3 = 21$

Step2: Subtract 21 from both sides

$21 + 2h - 21 > 40 - 21$
$2h > 19$

Step3: Divide by 2 on both sides

$\frac{2h}{2} > \frac{19}{2}$
$h > 9.5$
Since $h$ represents the number of books, it must be a whole number, so $h$ must be at least 10.

Answer:

$h > 9.5$ (or since $h$ is a whole number, $h \geq 10$)