True/False Statements
Is the statement true
2x > -6
x = -3
False,
x>-3
When graphing inequalities, which symbols have an OPEN circle?
< Less Than
> Greater Than
Solve AND Graph
-12 < -7x + 6 + 4x
x < 6
Jim has 35 dollars saved and earns 10 dollars for every lawn he mows. He wants to have more than 110 dollars so he can buy a new skateboard. Write and solve an inequality to model this situation.
35 + 10x > 110 OR
10x + 35 > 110
x>7.5
Solve for N
m = 2 (x + n)
m/2 -x = n
Is the statement true?
2k + 10 > 30
k > 10
When graphing inequalities, which inequality symbols have a CLOSED circle?
≤ : Less Than or Equal to
≥ : Greater than or Equal to
Write and solve:
The difference between a number and 48 is at most 6
x - 48 < 6
x < 54
Solving Inequalities
Solve for x.
-5x - 16 < 34
x > -10
Solve for F
C = (5/9)(F - 32)
F = (9/5) C + 32
We use an open circle to represent the inequalities < and > ?
True
Which direction do we shade for x < -3 ?
Left
-1 ≤ 6 + 7(2x + 1)
x ≥ -1
Barry has 16 dollars to spend. He wants to buy a notebook for $2.75, and as many whiteboard markers as possible. Whiteboard markers cost $1.50 each. Write and solve an inequality to find how many markers Barry can buy.
Barry can buy 8 markers or less, x <=8
Solve for h
T = 2R (R + h)
(T/2R) - R = h
If graphing x < 5, we would put an open circle on 5 and shade to the right.
False,
We would put an open circle and shade to the left.
Is the following inequality graphed correctly?
x < 6
No, the graph shows x > -6
-12 > 4 (8r +5)
r < -1
Solve the Inequality
-2x - 5 < -7
x > 1
Solove for C
F = 9C / 5 + 32
5 (F - 32) / 9 = C
To solve this inequality, you must flip the symbol:
3x - 6 > -12
False,
x>-2
Solve a compound inequality and graph:
-2 < x/4 < -1
-8 < x < -4
Write AND Solve
The cost of 3 apples is less than $5.
x < $1.67
v < 48
Solve for P
R = P (12 - 2) + 5
R / 15 = P