Translations
What is the symbol for "more than"?
>
Solve: 9p < -81
p < -9
Solve: 1.5x + 12 < 18
x < 4
Graph: x < 4.5
open circle at 4.5, shaded to the left
Write an inequality to match this statement: Denise wants to spend at most $300 on gifts for her family.
x ≤ 300
What is the symbol for "less than"
<
Solve: c/2 ≤ -0.75
c ≤ -1.5
Solve: 16 ≥ 6 + x/2
20 ≥ x or x ≤ 20
Graph: x ≤ -9
closed circle at -9, shaded to the left
Mrs. Tarr solves the inequality 4x-9<-18. She must list three values that are apart of the solution set. What are three values she could pick? (hint: solve and graph)
Any numbers below -2.25. ex. -2.3, -10, -150
What is the symbol for "no more than?"
≤
Solve: -2.5d ≥ 30
d ≤ -12
Solve: -3x - 11 > 45
x < -18 2/3
Graph: 4/5 > x
x < 4/5, open circle at 4/5, shaded to the left
A 15-passenger van is rented for a family vacation. The van rental is $60.00 per day, plus a $145.00 insurance fee. How many days can the van be rented if the family wants to spend no more than $625.00 on the van rental? Write and solve an inequality.
Inequality: 60d + 145 ≤ 625
Solution: d ≤ 8 days
What is the symbol for "at least"?
≥
Write an inequality to match this statement:
Lexi needs to score no less than an 80 on her test.
x ≥ 80
Jenny solved the inequality below. Did she solve it correctly? If not, explain her mistake. Graph the correct solution.
-14 - 4x ≥ -30
-4x ≥ -16
x ≥ -4
She divided by a positive 4, not a negative 4. The correct solution is x ≤ 4. The graph should have a closed circle at 4 and shaded to the left.
Solve and Graph: 42 ≥ -6 + 3x
16 ≥ x or x ≤ 16, closed circle at 16, shaded to the left
Ms. Herding is saving up to buy a new phone that costs $220.00. So far, she has saved $175.00. She would like to buy the cell phone in four weeks. Write and solve an inequality to represent at least how much she must save every week to buy the phone.
Inequality: 175 + 4d ≥ 220
Solution: d ≥ 11.25 dollars per week
What is the symbol for "minimum"?
≥
Solve and Graph: 56 ≥ -7x
Solution: -8 ≤ x or x ≥ -8
Graph: closed circle at -8 and shaded to the right
Solve: 10 - x ≤ 35
x ≥ -25
Solve and Graph: -5 - x ≤ 5
x ≥ -10, closed circle at -10, shaded to the right
A warehouse hold 555 boxes. They ship out 65 boxes each week. After how many weeks will the warehouse have less than 100 boxes remaining? Write and solve an inequality that can be used to determine how many weeks it will take for the warehouse to have less than 100 boxes.
Inequality: 555 - 65w < 100
Solution: w > 7 weeks