Example 1 Solving an Inequality Using Multiplication Simplify. n ≤ –16 Multiply each side by 8. Reverse inequality symbol. (Multiplication property of inequality) n – 8 8 ≤ –– – Original inequality n ≥ –

Example 2 Solving an Inequality Using Division Original inequality 15 > 3m – Divide each side by 3. Reverse inequality symbol. (Division property of inequality) 3 15 < 3 3m3m – –– – Simplify. 5 < m –

Example 3 Using the Division Property of Inequality About 15,000 fruit-eating bats live on Barro Colorado Island. They eat up to 61,440,000 grams of fruit yearly. Write and solve an inequality to find up to about how many grams g of fruit each bat eats yearly. BIOLOGY SOLUTION Write an algebraic model. 15,000g ≤ 61,440,000

Example 3 Using the Division Property of Inequality Simplify. g ≤ 4096 Divide each side by 15, ,000 15,000g ≤ 15,000 61,440,000 ANSWER Each bat eats up to about 4096 grams of fruit in a year.

for Examples 1, 2, and 3 Guided Practice 1. Solve the inequality > 4. 6 t ANSWER t > 24 ANSWER t > – 9 2. Solve the inequality 27 > 3t. –

for Examples 1, 2, and 3 Guided Practice 3. BIOLOGY A bat that weighs about 25 grams can eat up to 2.5 times its body mass in figs in one night. Up to how many grams g of figs can it eat? ANSWER 62.5 g