Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
HW ?’s August 24, 2011 Algebra 2 Solving Inequalities (1-6) What is an inequality? 1-6 Inequalities have a less than (<), greater than (>), less than or equal to (<), or greater than or equal to (>) SIGN • Key words include – Less than: is fewer than, is under – Less than or equal to: is no more than, is at most – Greater than: is more than, is over – Greater than or equal to: is no less than, is at least To graph an inequality with one variable… y > 4 • Find all of the possible solutions (solve). • Draw a number line. – You do not have to put all of the numbers. – You DO need to put a 0 in the middle and the number from the solution. • Where you put the number, you have two options: – open circle o for < and > – closed circle • for ≤ and ≥ • Then shade in the direction of the possible solutions. Solving Inequalities with Addition and Subtraction 1. y–2<6 2. -26 < t + 12 Solving Inequalities with Multiplication and Division 3. 2s < 42 4. –4d < -12 When you multiply or divide by a negative; switch the sign!!! Solving Inequalities with Multiplication and Division 5. k > -2 4 6. m > -6 2 Solving Inequalities with Multiplication and Division 7. 1 c ≥0 5 8. 2 d ≤ -3 3 Solve and graph. 9) 15 – 3x > 3 10) 4x + 14 < 3x + 6 Solve and graph. 11) 4x – 5 < 4(x + 2) 12) 2(3x – 1) > 3(2x + 3) Write an inequality, then solve. 13) You have budgeted $100 to improve your swimming over the summer. At your local pool, it costs $50 to join the swim association and $5 for each swim class. Write and solve an inequality to find the possible numbers of swim classes you can attend within your budget. Let x = the # of swim classes Today’s Vocabulary: inequality, less than, greater than, less than or equal to, greater than or equal to, open circle, closed circle Homework Read “key concept” on page 42 Do unit 1 WS #1