One-step
Inequalities
Inequalities
Graph the inequality x ≥ -2
Closed circle on -2, shading to the right
Solve 3a + 5 > 2
What is a > -1?
5x + 4 > 2x + 61
x > 19
-4> x-3 or 5< 5x
-1>x or 1<x
Jordan has $25 to spend at the arcade. Each game costs $2. Write and solve an inequality to show how many games Jordan can play.
2x < 25
Graph the inequality -5 > x
Open circle on -5, shading to left
Solve 4x – 3 < 13
What is x < 4?
x + 29 > 12x - 37
x < 6
Solve 7 ≤ x + 3 < 14
What is 4 ≤ x < 11?
A backpack can hold at most 18 pounds. Each book weighs 3 pounds. Write and solve an inequality to find how many books can fit in the backpack.
3x<18
Solve the following inequality and graph: n + 1 < 5
What is n<4? Graph = open circle on 4, shading to the left
Solve -4k – 1 < 13?
What is k > -3.5?
Solve the following inequality: 5(x - 15) > 3(4x + 33)
x < -24.85
-4 < 3n+2 ≤ 11
-2< n < 3
Sam already has 10 baseball cards. He wants to collect at least 50 cards. Each pack of cards he buys has 5 cards. Write and solve an inequality to find how many packs Sam needs to buy.
10+5x>50
Solve the following inequality and graph: -22 > -10 + b
What is b < -12? Graph = open circle on 12, shading to the left
Solve 3 – y/4 ≤ 2
What is y ≥ 4?
Solve the following inequality: 7(x + 11) - 16 ≤ 3(x - 10) + 81
x ≤ 2.5
Solve 12 < 4(x+1) ≤ 20
2 < x < 4
A movie theater charges a $4 entry fee plus $3 for each ticket to a game booth inside. Mia has at most $25 to spend. Write and solve an inequality to find how many game tickets Mia can buy.
4+3x<25
Solve the following inequality and graph: x/2 ≥ 4
What is x ≥ 8? Graph = closed circle on 8, shading to right
Solve (11+x)/-3 ≤ 1
What is x ≥ -14?
Solve the following inequality: 4(x + 12) + 10 < 2(2x - 9) + 15
no solution
-4w + 1 > -3 or w/2 ≥ 12
w<-1 or w> 24
Lena has $80 saved. She spends $5 each time she goes to the movies. She wants to have at least $30 left after these expenses. Write and solve an inequality to find how many times she can go to the movies.
80-5x>30