Stories
Graph inequalities
One step inequality
Add & Subtract
Multiply & Divide
100

The bowl has at least 25 fish. (Let f represent the fish)

f > or = to 25

100

X > 6

Open point; line goes right towards 7

100

x - 6 > 17

Add 6 to both sides

x > 23

100

-16 + -45

-61

100

-7 x -8

Neg x Neg = positive

Neg x Pos = Neg or Neg x Pos = Neg

56

200

Paul ate more than 50 french fries. (f represents french fries)

f > 50

200

v < or = 8

Closed point; line goes left towards 7

200

c + 8 > or = 32

subtract 8 from both sides

c > or = to 24

200

-98 + 54

-44

200

-19 x 4

-76

300

At least 20 people went to the park. (p represents people)

p > 20


Common mistake: at least means that is the least amount of people. 

300

w = 8

Closed point on 8; no line

300

z -17.3 < 90

LINE up the decimals

Add 17.3 to both sides

z < 107.3

300

-78 - 43

turns to -78 + -43

-121

300

-300 / 6

-50

400

The temperature is lower than 15 degrees. (let t represent temperature)

t < 15

400

r > or = to 5.7

Closed point; line goes to the right towards 5.8

400

F + 6.87 > 12.86

Line up the decimals

Subtract  6.87 from both sides.

f > 5.99

400

12 - 65

-53

400

-64 / -16

4

500

Sarah has $20 or less in her wallet. (d represents dollars)

d < or = $20

500

p < -3

Open point; line goes towards the left towards -4

-4, -3, -2, -1

500

6.98 + h > 1.4

Line up the decimals

Subtract 6.98 from both sides

1.4 - 6.98 = - 5.58


500

-87 + 100

13

500

-6 x -7 x -2

-6 x -7 = 42 x -2 = -84