Write and/or Solve Inequalities
Solve Inequalities
Graph
Symbol
100
You want to buy several candy bars for $2 each and one newspaper for $3. Write an inequality that represents the maximum number of candy bars you can buy with $19.
Answer
100
Solve: 3 < -2x + 8
Answer:
3 < -2x + 8
-5 < -2x
2.5 < x
x > 2.5
100
Answer: D
100
What inequality symbol would you use to represent :
the cost of the trip will be at least $500
Answer: greater than or equal to
200
A candle is 30 centimeters tall. It is burning at a rate of 2.5 centimeters an hour. Write an inequality that can be used to find x, the number of hours the candle can burn, and still be more than 15 centimeters tall.
Answer: 30 - 2.5x > 15
200
Solve for x:
2x - 5 ≥ 7
Answer: x ≥ 6
2x - 5 ≥ 7
2x ≥ 12
x ≥ 6
200
Graph x > 3
Answer:
200
What inequality symbol would you use to represent :
twice a number is at most 12
Answer: less than or equal to
300
Negative eight plus four times a number is greater than negative 64. What is the solution set for this number?
Answer: all values greater than -14
300
Solve for x:
-3x + 5 ≤ -16
Answer: x ≥ 7
**switch sign at the end**
-3x + 5 ≤ -16
-3x ≤ -21
x ≥ 7
300
Graph: x ≤ 7
Answer:
300
What inequality symbol would you use to represent :
the temperature tomorrow will exceed 20 degrees
Answer: greater than
400
Andre has a summer job selling magazine subscriptions. He earns $25 per week plus $3 for every subscription he sells. Andre hopes to make at least enough money this week to buy a new pair of soccer cleats that cost $68. Write and solve an inequality to determine the minimum number of subscriptions he needs to sell to buy the cleats this week.
Answer: 15 subscriptions
400
Solve:
Answer: B
1 - 8x > 9 - 7x
1 > 9 + x
-8 > x
x < -8
400
Answer: C
4x + 12 ≤ -8
4x ≤ -20
x ≤ -5
400
What inequality symbol would you use to represent :
the minimum height to ride the roller coaster is 54 inches
Answer: greater than or equal to
500
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week, w, for expenses. What is the maximum number of weeks he can withdraw money and still have more than $200 left in his account?
Answer: 12 weeks
500
Solve:
Answer: x > -4
500
Graph: 3<x≤7
Answer:
500
What inequality symbol would you use to represent :
fewer than 5 students are absent in the 7th grade today
Answer: less than
