symbols
solving
graphing
number line
word problems
100
draw the "less than" symbol
<
100
-3x>9
x<-3
100
When graphing this inequality, where would you start? y > x + 1
plot a point on the y-intercept (0,1)
100
Would you graph this inequality with a closed or open circle? x>5
OPEN
100
Use a calculator: Where is √67 located on a number line?
a) Between 8 and 8.1
b) Between 8.1 and 8.2
c) Between 8.4 and 8.6
b) Between 8.1 and 8.2
(8.18535277187)
200
draw the "greater than" symbol
>
200
12 − 3x < 9
x>1
200
When graphing this inequality, what is the next step after plotting a point at the y-intercept?
y > x + 1
move from the y-intercept and plot points using the slope (up 1, to the right 1, and repeat)
200
Would you graph this inequality with an OPEN or CLOSED circle? 4x+12−10 ≥ −2x+8
CLOSED
200
Which inequality symbol would you use if you see the phrase "at least" in a word problem?
greater than or equal to
300
less than or equal to
300
−3x −15 ≤ 30
x>=-15
300
Will this inequality be graphed with a DASHED or SOLID line: y ≥ 2x - 3
y ≥ 2x - 3
SOLID Line
300
When the "alligator" is eating the variable, which direction do you graph the arrow? LEFT or RIGHT
RIGHT
300
Write the inequality for this situation:
Joe paid at least $100 for the track team's lunch.
p >= $100
400
greater than or equal to
400
4x+12−10 ≥ −2x+8
x>=1
400
Will this inequality be shaded ABOVE or BELOW the line? y > x + 1
y > x + 1
ABOVE
400
When the "alligator" is eating the number, which direction do you graph the arrow? LEFT or RIGHT
LEFT
400
Slushies cost $3 each and Popcorn costs $2 each. The movie theatre needs to sell at least $250 from selling these items. Write an inequality to represent this situation.
3s + 2p >= 250
500
What is the KEY RULE when solving inequalities?
If multiplying or dividing by a NEGATIVE number, you must FLIP the SIGN!
500
3(x - 2) + 5 ≤ 2x + 8
x<=9
500
Write an ordered pair that would NOT be a solution to the inequality represented by the shaded region?
answers that would NOT be a solution is anywhere in the area NOT shaded/above the line, including on the line
500
solve and GRAPH the inequality:
4(x + 6) - 10 > -2x + 14
x>0
SHADED TO THE RIGHT
500
Slushies cost $3 each and Popcorn costs $2 each. The movie theatre needs to sell at least $250 from selling these items. If they sold 60 bags of popcorn and 40 slushies, did they raise at least $250?
no