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Inequalities
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100

13 = x/-11

-143

100

4x - 4 + x = 1

x = 1

100

David K borrowed $100 from David C to buy V-bucks. If David K has already paid back $25, how much money does he still owe David C?

x + 25 = 100

x = $75

100

(x/4) - 8 > -12

x > -16

100

"The sum of a number and 5 is no less than 23"

x + 5 >= 23

x >= 18

200

(-3/2) + x = -17/8



x = -5/8

200

3(2-5x) + 2 = -112

x = 8

200

10 tickets at the carnival cost $25, how much does one ticket cost?

10x = 25

x = $2.50

200

7 - 4x > -73

x < 20

200

"15 more than the product of a number and -3 is no more than 45"

15 - 3x <= 45   or -3x + 15 <= 45


x >= -10

300

7x - 4 = -116

x = -16

300

-(4x + 3) = 5 - 6x

x = 4

300

"13 subtracted from the product of a number and -3 is 16"

-3x - 13 = 17

x = -10


300

-4(-2x + 6) < -88

x < -8

300

Mr. Hawley needs $500,000 to fix the school after "accidentally" dividing by 0 and creating a mini blackhole. How much money does he need to pay if he wants the total balance owed to be a maximum of $300k?

500,000 - x <= 300,000

x >= 200,000

400

-6 = -9 + (x/3)

x = 9

400

8(7x - 5) = 8(1 + 4x)

x = 2

400

"The difference of 5 and twice a number is 6"

5 - 2x = 7


x = -1

400

2(-1 - 8x) > -5x -2(1-3x)

x < 0

400

Will is saving up for a PS5. If he needs at least $600, and he has already saved $240, how much is his total paycheck if he only needs to save five-twelfths of it?

240 + (5/12)x >= 600

x >= $864


500

9x2 - 13 = 12

x = +/- 5/3 or 1.67

500

-4 - 3(x+5) = -10 - 3(3+x)

x = infinite solutions ∞

500

Jonah ran his mile 83 seconds faster than Mr. Hawley. If their combined time was 13 minutes and 47 seconds, how long did it take Jonah?

J + (J + 83) = 827 seconds


J = 6 minutes 12 seconds (Dang!)

500

-3 - 4(3 + 2x) < -2x - 15

And which of these are solutions for the inequality?

-2, -1, 0, 1, 2

x > 0

1, 2

500

The President of Math has asked Mr. Hawley to throw the best Pi Day Party this nation has ever seen. If he wants each man, woman, and child to have at least 3 pies each at $4.50 per pie, and a maximum budget of $1200, how many people can he invite?

3*4.50x <= 1200

x <= 88.89 people What is 0.89 people?
So round down to

x<= 88 people

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