Compound Inequalities Goal: Write, solve and graph compound inequalities. Prepare to have your mind...
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- Slide 1
- Compound Inequalities Goal: Write, solve and graph compound
inequalities. Prepare to have your mind blown!!
- Slide 2
- What are Compound Inequalities? Compound Inequalities: two
inequalities connected by and or or. Example: x is less than five
and greater than -10 or -10 < x < 5
- Slide 3
- THE OR STORY LETS NOW SUPPOSE THAT YOU HAD EXHIBITED SUCH GOOD
BEHAVIOR THAT YOUR MOM TOLD YOU THAT SHE WOULD GO TO WALMART OR K-
MART TO TRY TO FIND YOU A NEW GAME THAT YOU HAVE BEEN WANTING FOR
MONTHS. SHE LATER TOLD YOU THAT SHE WENT TO K MART AND THEY DIDNT
HAVE IT, SORRY! DID SHE KEEP HER PROMISE?
- Slide 4
- THE AND STORY SUPPOSE THAT YOU HAD EXHIBITED SUCH GOOD BEHAVIOR
THAT YOUR MOM TOLD YOU THAT SHE WOULD GO TO WALMART AND K-MART TO
TRY TO FIND YOU A NEW GAME THAT YOU HAVE BEEN WANTING FOR MONTHS.
SHE LATER TOLD YOU THAT SHE WENT TO K MART AND THEY DIDNT HAVE IT,
SORRY! DID SHE KEEP HER PROMISE?
- Slide 5
- Writing Compound Inequalities From Words x is greater than 2
and less than or equal to 10 x is less than -7 or greater than
3
- Slide 6
- Writing Compound Inequalities (AND) Lets Break it Down
- Slide 7
- Writing Compound Inequalities (OR)
- Slide 8
- Real Life Compound Inequalities Write and inequality to
describe the Alpine meadow region. (use y is represent region)
- Slide 9
- Real Life Compound Inequalities Write and inequality to
describe the Timber Region. (use y is represent region)
- Slide 10
- Graphing Compound Inequalities AND connect together (one line
segment) OR two separate lines
- Slide 11
- Lets Try (AND Ex. 1) -2 < x < 5 Break it up: x > -2
AND x < 5
- Slide 12
- Lets Try (AND Ex. 2) -9 x < -1
- Slide 13
- Lets Try (AND Ex. 3) -5 x 4
- Slide 14
- Lets Try (OR Ex. 1) x 4 Break it up: x < -6 OR x > 4
- Slide 15
- Lets Try (OR Ex. 2) x -1 or x > 3
- Slide 16
- Lets Try (OR Ex. 3) x < -8 or x 8
- Slide 17
- Questions?! HOMEWORK: Graphing Compound Inequalities
Worksheet
- Slide 18
- Compound Inequalities (cont.) SOLVING
- Slide 19
- Solving a Compound Inequality with OR Solve both inequalities
separately.
- Slide 20
- Solving a Compound Inequality with OR 3x + 1 7
- Slide 21
- Solving a Compound Inequality with OR Ex. 2 Solve both
inequalities separately. 2x + 3 -2
- Slide 22
- Solving a Compound Inequality with OR Ex. 3 2x - 1 7
- Slide 23
- Solving Compound Inequalities with AND Do all steps to all
parts of inequality. -2 3x 8 10
- Slide 24
- Solving Compound Inequalities with AND Ex. 2 7 < x + 4 <
8
- Slide 25
- Solving Compound Inequalities with AND Ex. 3 -15 < 2x - 5
< 9
- Slide 26
- Multiplying or Dividing by a Negative When multiplying or
dividing a compound inequality by a negative you MUST SWITCH BOTH
SIGNS!!!!
- Slide 27
- Example 1 -2 < -3x 2 < 1
- Slide 28
- Example 2 -8 < -6x 2 < 16
- Slide 29
- Homework Pg. 349 Numbers 12 24 evens SHOW WORK!!