Graphing Inequalities
Should the circle be open or closed for the inequality 4 <= x?
CLOSED
x + 4 < 3
x < -1
2x + 9 > 7
x > -1
x + 3x - 4 < 12
x < 4
Is -2 a solution to the inequality?
4x + 2 < 3
YES!!!
Should the circle be open or closed for x > 7?
OPEN
5x > -10
x> -2
6x - 8 < 10
x < 3
-2(x - 3) > 8
x < -1
When do you need to flip the inequality symbol?
When you multiply or divide by a negative number.
Which way should you shade the graph? To the right or the left?
-6 < x
TOP THE RIGHT -------->
x - 8 < 16
x < 24
x/6 +7<9
x < 12
6(5 - 3x) < 24
x > 1/3
DAILY DOUBLE
WHAT!!!!!!!!!
If the solution to an inequality is x > 3, is 3 included in the list of possible solutions?
NO
HOW MUCH DID YOU WAGER
Which way should the graph be shaded? To the right or the left?
-14 < -x
TO THE LEFT <--------
x / 6 < -3
x < -18
x+5
______ > 12
4
x > 43
3x-7
____ > 7
2
X >=7
What does it mean for the circle on the number line to be open?
An open circle means that the number under the circle is not a possible solution to the inequality.
Which way should the graph be shaded? To the right or the left?
-3x < 9
TO THE RIGHT -------------->
DAILY DOUBLE WWWWWWOOOOOOWWWWW!!!!
-7x > 77
x < -11
AND WHAT IS THE WAGER?????
−5/3 x<−16
x>48/5
-8(-4x + 2) + 3x < 54
x < 2
FINAL JEOPARDY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
WRITING/ SOLVING ONE OR TWO-STEP EQUATIONS
A: write the inequalities
B: solve inequalities
A roller-skating rink charges a $16 fixed fee plus $7 an hour for a party. Laurie paid $79 to rent the rink. How many hours did she pay to have her party?
16 + 7x = 79
x = 9 hours