Solving Flashcards
Solve the inequality: 7 -9x + 8 < 21+3x
X>-0.5
Solve the inequality: -3(x+8) -2x > 9-7x+4
X>18.5
Solve the inequality: -2(-4x - 9) ≥ 7(2x+1)
11/6 ≥ x
You rent a car and are offered 2 payment options. At Enterprise, you can pay $25 a day plus $0.15 a mile. At Budget, you can pay $10 a day plus $0.40 a mile. For what amount of miles will Enterprise be cheaper to rent for one day?
You should go with enterprise if your driving more than 60 miles.
Solve the inequality: 3x+5>2x+5
X > 0
Robert makes $3.50 per hour working
at a convenience store. If he gets a
bonus of $25 this week, how many
hours must he work to make at least
$165?
Solution:
165.00 - $25.00 = $140.00 that he must earn
$140.00 / $3.50 per hour = 40 hours
x ≥ 40 hours this week.
Robert must work 40 hours or more this week to make at least $165.00.
Solve the following for t and check your answer.
36 – 2t > 24
Solution:
36 – 2t > 24
-2t > 24 – 36
-2t > -12
-2 -2
t < 6
Checking your work:
36 – 2t > 24
36 – 2(-10) > 24
36 + 20 > 24
56 > 24
Your school is having a fall carnival. Admission into the carnival is $3 and each game inside the carnival costs $0.25. Write an inequality statement that represents the possible number of games that can be played having $9.50. What is the maximum number of games that can
be played?
Solution:
$9.50 - $3.00 = $6.50 left after admission.
$6.50 / $0.25 = 26
Assume the number of games played is x.
x ≤ 26
The maximum number of games that could be played is 26.
Solve the inequality for x and check your answer.
4x + 13 > -7 + 8x
Solution:
4x + 13 > -7 + 8x
4x – 8x > -7 – 13
-4x > -20
-4 -4
x < 5
Checking your work:
4(-6) + 13 > -7 + 8(-6)
-24 + 13 > -7 – 48
-11 > -55
The low temperatures for the last two days were 28° and 15°.
What must the low temperature for the next day be in order for the
average temperature for the 3-day period to be less than 19°?
Solution:
Let n be the third day’s temperature.
28° + 15° + n < 19
3
28 + 15 + n < 57
43 + n < 57
n < 57 – 43
n < 14
The low temperature must be less that 14° for the average three
day temperature to be less that 19°.
Solve the following inequality for m and check your answer.
8 – m > -16
Solution:
8 – m > -16
-m > -16 – 8
-m > -24
-1 -1
m < 24
Checking your work:
8 – m > -16
8 – 10 > -16
-2 > -16
Graph x > 0
x > 0
Write an inequality for the graph:
x > 7
Write an inequality for the graph:
x < 4
Graph x ≥ -1.
Graph z ≤0. 5
Graph y ≤ 5
