Graphing and Writing Inequalities
When graphing inequalities, which symbols have an OPEN circle?
< Less Than
> Greater Than
Solve the Inequality:
x + 3 > 8
x > 5
Solve the Inequality:
4x + 3 < 7
x < 1
Solve the Inequality:
-4f + 6 + 9f - 4 < 17
f < 3
Rosie has five video games. She wants to have at least fourteen. How many more video games does she need to get to meet her goal? Write an inequality that represents Rosie's situation and solve for the variable.
5 + x ≥ 14
x ≥ 9
When graphing inequalities, which inequality symbols have a CLOSED circle?
≤ : Less Than or Equal to
≥ : Greater than or Equal to
Solve the Inequality:
x + 4 < -88
x < -92
Solve the Inequality:
2x - 5 > - 11
x > -3
Solve the Inequality:
5(p - 2) < -30
p < -4
John has $25 to spend at the jubilee. If the admission to the jubilee is $5 and the rides cost $2 each, what is the greatest number of rides John can go on? Write an inequality that represents John's situation and solve for the variable.
5 + 2x ≤ 25
Which direction do we graph for -3 > x on a number line? Also, what type of circle does is have?
open circle
Left
Solve the Inequality:
z/-3 ≥ 7
(z divided by 3)
z ≤ -21
Solve the Inequality:
1 - 9x ≤ -71
x ≥ 8
Solve the Inequality:
- 9 - 6d + 9d - 6 < 12
d < 3
A florist makes a profit of $6.25 per plant. If the store wants to profit at least $4225, how many plants does it need to sell? Write an inequality for this situation and solve for the variable.
6.25x ≥ 4225
x ≥ 676 plants
The speed limit is maximum 70 mph.
x ≤ 70
Solve the Inequality:
-2x < 14
x > -7
Solve the Inequality:
v/-4 + 14 < 30
(v over negative 4 plus 14)
v > 4
Solve the Inequality:
-2(x - 3) -2x - 2 < 48
x > -11
Mikayla has $50. Song downloads cost $1.50 each. How many songs can he download and still have $20 left to spend? Write an inequality for this situation and solve for the variable.
50 - 1.50x ≥ 20
x ≤ 20 songs
You need at least $40 more dollars.
x ≥ 40
Solve the Inequality:
-58 ≥ 9 + x
x ≤ -67
Solve the Inequality:
10 - 3x ≤ 25
x ≥ -5
Solve the Inequality:
(2 - 4x) / 3 ≤ 12
x ≥ 8.5
Daniel had $1200 in his savings account at the start of the year, but he withdraws $60 each month to spend on transportation. He wants to have at least $300 in the account at the end of the year. How many months can Daniel withdraw money from the account? Write an inequality for this situation and solve for the variable.
1200 - 60x ≥ 300
x ≤ 15 months