Graph Inequalities
x<10
<----o
10
x + 5 > 12. Solve for x.
x > 7
a + 5 < 1
a < -4
Pablo is making an Earth keychain. He is using 13 green beads and plans to use more blue beads than green beads. Let b represent the number of blue beads that Pablo might use. Write the inequality.
b > 13
2x + 3 > 11
x > 4
x<0
<----o
0
k – 30 < 50
k<80
t - 75 < -100
t < -25
The Chapman family is taking a road trip to Oregon this summer. Mr. Chapman plans to drive at least 150 miles each day. Let m represent the number of miles that Mr. Chapman might drive in a day. Write the inequality.
m ≥ 150
Lexi made fruit punch for her Fourth of July party and split it equally among 50 cups. There was more than 236.6 ml of punch in each one. Let x represent how much punch Lexi made. Write and solve the inequality.
x/50 > 236.6
x > 11830
x > –50
o---->
-50
w/9 > 2
w > 18
7x ≤ -91
x ≤ -13
Dwayne is throwing a party. He is making bags of candy as party favors. Dwayne plans to put at most 10 taffies in each bag. Let t represent the number of taffies that Dwayne might put in each bag. Write the inequality.
t ≤ 10
-1.5 ≥ x
using a line with only whole numbers shown
<----@
-2 * -1
x ≤ –700
<-----@
-700
d – 20.90 ≥ 14.50
d ≥ 35.40
g/–4 ≥ 3
g ≤ –10
Anne picked out 3 board games from her cabinet to take to a game night with her friends. She still has more than 10 board games in the cabinet, so she thinks she could bring a few more. Write and solve the inequality.
x–3 > 10
x > 13
Graph
y < -6 , y ≥ 2
<---o @--->
-6 ... 2
-15 ≥ x
<----@
-15
6.05x ≥ 72.6
x ≥ 12
If -x < 10, what is x?
x > -10
James bought 4 tubes of paint to use for an art project. He paid the same amount for each tube, and he spent less than $20 in all. Let x represent the cost of each tube of paint. Write and solve the inequality.
4x < 20
x < 5
In which inequality does the inequality symbol flip when solved? Why? (It's only one choice)
a. 7x > -14 b. -7x > 14 c. -7x > -14
b. -7x > 14
Because you will take the negative away from one side and bring it to the other side.