PRE-ALGEBRA LESSON 2-10 (For help, go to Lesson 2-6.) Solve each equation. 1.6x = = –7v 3. = = 48 t6t6 x –2 Check Skills You’ll Need 2-10 Solving One-Step Inequalities by Multiplying or Dividing
PRE-ALGEBRA LESSON 2-10 Solutions –2 = –2(10) 6x = 24 x = 4 = 10 x = –20 = 48 t = = 48(6) 63 = –7v –9 = v x –2 6x66x –7 –7v –7 x –2 == t6t6 t6t Solving One-Step Inequalities by Multiplying or Dividing
PRE-ALGEBRA LESSON 2-10 A 1-ton truck has the ability to haul 1 ton, or 2,000 lb. At most, how many television sets can the truck carry if each TV set weighs 225 lb? 225x 2,000 < – Let x = number of televisions. Inequality Words number of televisions 225 lb2,000 lbtimes is less than or equal to x2252,000 < – 2-10 Solving One-Step Inequalities by Multiplying or Dividing
PRE-ALGEBRA LESSON 2-10 (continued) Divide each side by 225. < – 2, x 225 x 8.8Simplify. Round the answer down to find a whole number of television sets. < – At most, the truck can carry 8 television sets. CheckIs the answer reasonable? The total weight of 8 television sets is 8(225) = 1,800 lb, which is less than 2,000 lb but so close that another television set could not be carried. The answer is reasonable. Quick Check 2-10 Solving One-Step Inequalities by Multiplying or Dividing
PRE-ALGEBRA LESSON 2-10 Solve –2. z –8 < – –2 z –8 < – Multiply each side by –8 and reverse the inequality symbol. –8(–2) z –8 > – Simplify. z 16 > – 2-10 Solving One-Step Inequalities by Multiplying or Dividing Quick Check
> – Solve each inequality. 1.3x –27 2.–5w > y f > –12 –x5–x5 < – < – PRE-ALGEBRA LESSON 2-10 w < –3 x 0 > – x –9 > – f > –3 y 2 < – 2-10 Solving One-Step Inequalities by Multiplying or Dividing