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Advanced Algebra w/Trig

Advanced Algebra w/Trig. Chapter 1.5 Solving Inequalities. Target Goals: Solve one-step and multi-step inequalities Graph the solution set on an number line Express the solution set in interval notation. What do the symbols mean?. Equations vs. Inequalities. Similarities .

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Advanced Algebra w/Trig

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  1. Advanced Algebra w/Trig Chapter 1.5 Solving Inequalities Target Goals: • Solve one-step and multi-step inequalities • Graph the solution set on an number line • Express the solution set in interval notation

  2. What do the symbols mean?

  3. Equations vs. Inequalities Similarities Differences Different signs (= vs. >, <, ≥, or ≤) When multiplying or dividing both sides by a negative number, remember to switch the direction of the inequality sign. • Isolate the variable when solving • Use the same properties of equalities when solving

  4. Solve each inequality and graph the solution set on a number line. Express the solution set in interval notation. Ex 1) 4y – 3 < 5y + 2 -5y +3 -5y + 3 -y < 5 y > -5 4y – 3 < 5y + 2 -4y -2 -4y -2 -5 < y  y > -5 -5 0 INTERVAL NOTATION: (-5, ∞)

  5. Solve each inequality and graph the solution set on a number line. Express the solution set in interval notation. Ex 2) 12 ≥ -0.3x -0.3 -0.3 -40 ≤ x or x ≥ -40 -40 0 INTERVAL NOTATION: [-40, ∞)

  6. Solve each inequality and graph the solution set on a number line. Express the solution set in interval notation. Ex 3) INTERVAL NOTATION: (∞, 7/3) 7/3 0

  7. Applications Ex 4) Javier has at most $15.00 to spend today. He buys a bag of pretzels and a bottle of juice for $1.59. If gasoline at this store costs $2.89 per gallon, how many gallons of gasoline, to the nearest tenth of a gallon, can Javier buy for his car?

  8. Applications Ex 5) Jin is selling advertising space in Central City Magazine to local businesses. Jin earns 3% commission for every advertisement he sells plus a salary of $250 per week. If the average amount of money that a business spends on an advertisement is $500, how many advertisements must he sell each week to make a salary of at least $700 that week? He must sell at least 30 advertisements.

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