Absolute Value Inequalities
abs(10p-4)<34
-3<p<19/5
-3<=p/2<0
-6<=p<0
Ellie has no more than 7 cousins.
e ≤ 7
-p-4p> -10
p<2
The sum of a number and 5 is less than fifteen.
5 + x < 15
9abs(m-8)-10<26
4<m<12
2x<10 or x/2>=3
x<5 or x>=6
Gavin needs to get at least a 70 on his next test to pass the class.
g>=70
-3-6(4x+6)> -111
x<3
Seven less than a number is less than or equal to 5.
x - 7<=5
7abs(n/3)-9<12
-9<n<9
-1<9+n<17
-10<n<8
Sean has at most 42 trophies from his sports competitions.
s<=42
167<6+7(2-7r)
r<-3
Twice a number is greater than 20.
2x>20
2abs(10b+7)-1>73
b>3 or b<-22/5
-36<3p-6<-15
-10<p<-3
Clare is in the grocery store. Her mom gave her less than $30 to spend on snacks for Friday night.
c<30
5(6+3r)+7>=127
r>=6
Tom needs to have no less than 12 signatures to run for class president.
t>=12
3+4abs(3x+7)>=-89
all real numbers
-1-10a<-1 or 10+3a<=-5
a>0 or a<=-5
Miss Zezzo has spent no less than $10,000 on her upcoming wedding (aaaahhh!!!)
z>=10,000
6x+2+6x<14
x<1
k<7