1 / 8

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 .

baris
Download Presentation

Advanced Algebra w/Trig

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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.

More Related