What are the solutions of | x | = 9? Graph your solution.
x = 9 or x = -9
100
What is the inequality for "no more than 18 people are allowed in the gallery"?
p <= 18
100
What is the solution to the inequality "x - 9 < 18"? Graph your solution.
x < 27
100
Solve the compound inequality: 7 < x + 6 <= 12. Graph the solution.
1 < x <= 6
100
A club has a goal to sell at least 25 plants for a fundraiser. They sell 8 plants on Wednesday and 9 plants on Thursday. How many must they sell on Friday to meet their goal by the end of the week. Write an inequality then solve it.
8 + 9 + x >= 25
x >= 8
200
What are the solutions | n + 2 | = 4? Graph your solution.
n = 2 or n = -2
200
What is the inequality for "there are fewer than 8 fish in the aquarium"?
f < 8
200
What is the solution to the inequality "1/3p <= 4"? Graph your solution.
p <= 12
200
Solve the compound inequality: 5 + m > 4 or 7m < -35. Graph the solution.
m > -1 or m < -5
200
George spent $678 to make wreaths for this holiday season. At least how many wreaths must he sell at $15 each in order to make a profit?
at least 46 wreaths OR w >= 46
300
What are the solutions of | 5x | < 15? Graph your solution.
-3 < x < 3
300
What is the inequality for "the water level is above 45 inches"?
w > 45
300
What are the solutions of 6 - 3p >= -9
p <= 5
300
Solve the compound inequality: 5 <= y + 2 <= 11. Write your solution in set-builder notation.
{x | 3<= x <= 9 }
300
A family is taking a cross country trip by car. They drive at an average speed of 55 mi/h and their goal is to travel at least 400 mi/day. How many hours per day do they need to drive? Write an inequality then solve it.
55x >= 400
x >= 7 3/11 hours
400
What are the solutions of 4 | k + 5 | > 8 ? Graph your solution.
k < -7 or k > -3
400
What is the inequality for "no more than 35 tables are in the cafeteria"?
t <= 35
400
What are the solutions of 4t + 17 > 7 + 5t ? Graph your solution.
t < 10
400
Solve the compound inequality: -3 <= (6 - x)/9 <=3.
Write your answer in set builder notation.
{x | -21 <= x <= 33}
400
The unit cost of a piece of a fabric is $5.00 per yard. You have no more than $30 to spend on material. How many yards of fabric could you buy? Write an inequality then solve it.
5y <= 30
y <= 6 yards
500
What are the solutions of | 2x - 7 | -1 > 0 ? Graph your solution.
x < 3 or x > 4
500
What is the inequality for "the number c is between -2 and 3"?
-2 < c < 3
500
What are the solutions of 4(3n - 1) >= 2(n + 3)?
n >= 1
500
Solve the compound inequality: 4z - 6 <= -10 or 5z - 3 > 7
Write your solution in interval notation.
(-infinity, -1] or (2, + infinity)
500
A sales associate in a shoe store earns $325 per week plus a commission equal to 4% of her sales. This week her goal is to earn at least $475. How many dollars worth of shoes must she sell to reach her sale? Write an inequality then solve it.