Solve and Graph Inequalities Practice Session
Practice solving and graphing various inequalities, including equations, warm-up exercises, and review problems. Explore different scenarios and learn effective strategies to tackle inequalities easily.
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Solving Inequalities Part 2
Warm-up Solve these EQUATIONs: Solve these EQUATIONs: ? ? ? + ? ? + 8 = 8 + 8 = 8 - -3x 3x 20 = 7 = 20 = 7 = - -2 2
Warm-up Solve these EQUATIONs: Solve these EQUATIONs: 3( )3 -6( + 8 = 8 + 8 = 8 - -3x )-6 ? ? ? + ? ? 3x 20 = 7 = 20 = 7 = - -2 2 +20 +20 +20 +20 - -3 3x x = = 27 - -3 3 - -3 3 x x - 48 = 48 = - -48 +48 +48 +48 +48 48 x x + 5 + 5 = 5 = - -6 5 5 5 6 27 x x = 0 = 0 x x = = - -11 11 x x = = - -9 9
Review: Solve and graph these inequalities. -3 ( )-3 -24 + x -21 +24 +24 x 3 ? ? 7 - -2 > 2 2 > 2x x 10 +10 8 > 2 8 > 2x x 10 +10 8 8 2 2 x < < 4 Put the variable on the left before graphing; flip sign Multiply by a negative: flip the inequality sign
Solve and graph this inequality. - -11 > 11 > - -6 6x x + 1 1 - -12 12 > > - -6 6x x -6 -6 2 2 < < x x + 1 1 Isolate the variable. Divide by a negative: flip the inequality sign Put the variable on the left before graphing; flip sign x x > 2 > 2
Solve these inequalities. -4 ( )-4 12 x + 8 8 5 ( )5 ? ? ? ? ? -2 x 8 -10 +8 +8 ? + ? ? -3 1 > -4 1 1 -2 ( )- 2 x > 10 Should we flip the sign??? x < < 10 ? ? 8 > -5 x -2 4 x Should we flip the sign??? x -2 Should we flip the sign??? x 4 WHY? WHY? WHY?
Solve and graph these inequalities. - -m m + 3 + 3 - -3 3 3 - -m m -1 -1 6 6 11 < 11 < - -k k + 6 6 6 5 5 < < - -k k -1 -1 - -5 5 > > k k k k < - -5 5 + 6 6 6 3 - -6 6 m m
Especially for period 2! The assignment with the lowest rate of completion in period 2 is: Distance Between Distance Between Two Points Two Points which was assigned on May 18th. Here is a reminder of how to do it.
Especially for period 7B! The assignment with the lowest rate of completion in period 7B is: Worksheet on Worksheet on Rate of Change (1 Rate of Change (1- -6) was assigned on April 22nd. Here is a reminder of how to determine if a function is linear from a table. 6) which nonlinear function nonlinear function See more examples in your book on pages 267 See more examples in your book on pages 267 - - 269 269
Next week: what do we need to review? You have until June 5 5th to submit all missing work. What can we do in class next week that will help you to do this? Send me an e-mail NO LATER THAN TOMORROW and I will address anything you feel needs to be addressed. Certain concepts you need to review? Anything you still don t understand?
Assignment: due Sunday, 5/31 @ 3 pm Worksheet: 2 Worksheet: 2- -step inequalities (1 step inequalities (1- -16) 16) HINT: if you get an answer that is not on the number line, HINT: if you get an answer that is not on the number line, it s not right it s not right! Try it again. ! Try it again. Worksheet: Inequalities Multiple Choice (1 Worksheet: Inequalities Multiple Choice (1- -4) 4) You must show your work for the multiple choice, no guessing! You must show your work for the multiple choice, no guessing!
