Absolute Value Equations
|x − 6| = 11
x=17
x=-6
A student must earn at least 70 points to pass a test.
x≥70
7x − 9 < 26
x<5
−5 < x + 2 ≤ 8
−7 < x ≤6
|x-4|<7
1<x<3
|3x + 2| = 14
x=-16/3
x=4
A gym allows no more than 25 students in a class.
x≤25
−4x + 6 ≥ 22
x≤-4
2x − 3 ≥ 7 OR 4x + 1 < −11
x ≥ 5 or x < −3
|3x+2|>11
x<-4 1/3 or x>3
|-2x + 6| = 6
x=0
x=6
What does x represent?
A phone plan costs $18 per month plus $4 for each gigabyte of extra data. You can spend no more than $42. What is the greatest whole number of extra gigabytes you can use?
gigabytes
3(x − 2) + 5 ≤ 10
x≤11
3 ≤ 2x + 1 < 13
1≤x<6
|5x-15|-4>6
|2x + 5| = −3
No Solution
A school club has $85 to spend on supplies. It has already spent $19, and each additional supply kit costs $6. What is the greatest number of kits the club can buy?
6x+19 ≤ 85
5 − 2(3x + 1) > 15
x<-2
-36<3x-6<-15
-10<x<-3
|2x-6|+4≤14
-2≤x≤8
2|x − 4| + 3 = 17
x=11
x=-3
A phone plan costs $18 per month plus $4 for each gigabyte of extra data. You can spend no more than $42. What is the greatest whole number of extra gigabytes you can use?
4x+18 ≤ 42
A student solves −3x > 12 and gets x > −4.
Identify the error and write the correct solution.
Forgot to flip the inequality sign after dividing by a negative.
Correct answer: x < −4
7x-5≥65 or -3x-2≥-2
x≥10 or x≤0
2|x-1|≤10
-4≤x≤6