Graphing and Writing Inequalities
Write the inequality
One-Step Inequalities
Two-Step Inequalities
Word Problems
100
When graphing inequalities, which symbols have an OPEN circle?
< Less Than
> Greater Than
100
A number x is greater than or equal to 7.
x≥7
100
Solving Inequalities
Solve for x.
2x > 8
What is:
x > 4
100
Solving Inequalities
Solve for x.
4x + 3 ≤ 7
What is:
x ≤ 1
100
Write an inequality and solve.
Maya has $45 and needs at least $120 to buy a new bike. Write an inequality using x to find how much more money she needs to save.
45+x ≥ 120
x ≥ 75
Maya needs to save at least $75 more
200
When graphing inequalities, which inequality symbols have a CLOSED circle?
≤ : Less Than or Equal to
≥ : Greater than or Equal to
200
The total cost, c, of your lunch must be at most $15.
c ≤ 15
200
Solve the Inequality
X + 4 < -88
What is:
X < -92
200
Solving Inequalities
Solve for x.
2x - 5 ≥ - 11
What is:
x ≥ -3
200
Write an inequality and solve.
You and your friends are going to a carnival. Each ride ticket costs $2.50. If Julian has $50 to spend, write an inequality using x to find the number of rides he can go on.
2.5x ≤ 50
x≤ 20
He can go on at most 20 rides.
300
Which direction would the arrow point on the graph for -3 > x on a number line?
Left
300
To go into the playground area at Chic Fil A, a child's height, h, must be strictly under 48 inches
h<48
300
Solve the Inequality
z/3 > 7
(z divided by 3)
z > 21
300
Solving Inequalities
Solve for x.
-9x + 1 > -71
What is:
x > -8
300
The student council homecoming committee began selling tickets for the dance. On day one, the they sold 96 tickets. The total number of students in attendance must stay under 800, so that the school does not violate the fire safety code. How many more tickets are they able to sell?
x+96<800
x<704
They can sell less than 704 tickets.
or
They can sell at most 703 more tickets.
400
Is the following inequality graphed correctly?
x < -6
No, the graph shows x > -6
400
Five less than a number y is no more than 20.
y-5 ≤ 20
400
Solve the Inequality
-4x < 14
What is:
x > -7/2 OR x > -3.5
(Negative 7 over 2)
400
Solve for v.
v/3 + 14 < 30
v < 48
400
Write an inquality and solve.
A wrestler weighs 190 pounds. They need to drop their weight to at most 175 pounds for a tournament. He is going to lose 3 pounds per week by training at the gym. Write an inequality using x to find the minimum amount of weeks he must train to reach his goal.
190-3x≤175
x≥5
He will need to train for at least 5 weeks.
500
Graph -5 < x
o------------>
-5
500
Twice a number x, increased by 3, is no less than 11.
2x + 3 ≥ 11
500
Solve the Equation:
f /-2 < 5
What is:
f > -10
500
Inequalities
11 < 2 - 3x
x < -3
or
-3 > x
500
A concert promoter sells tickets for $50 each. However, the venue charges them a flat clean-up fee of $300 regardless of attendance. Write an inequality using x to find the number of tickets they must sell to make a profit of no less than $2,500.
50x-300 ≥ 2500
x≥56
They must sell at least 56 tickets