Inequalities and Their Graphs
Solving Inequalities
Compound Inequalities
Absolute Value Equations and Inequalities
Linear Inequalities (Word Problems & Graphs)
100
When graphing x>3 on a number line, should the circle be open or closed?
What is open?
100
Solve: x+4>9.
What is x>5?
100
Given 2<x≤6, write the solution in interval notation.
What is (2,6]?
100
Solve: ∣x∣=5.
What is x=5 or x=−5?
100
You must score at least 70 points to pass. Write an inequality.
What is x≥70?
200
When graphing x≤−2. Which direction does the arrow go?
What is to the left?
200
Solve:
3/4x<12
What is 16?
200
Solve: −x<−3 OR −x>5.
What is x<−5 or x>3 ?
200
Solve: –2∣x−3∣=10.
What is DNE?
200
A gym charges $25 plus $10 per class. Write an inequality for spending no more than $75.
What is 25+10x≤75?
300
The graph shows a closed circle at 5 with shading to the right.
What is x≥5?
300
Solve: −2x>8.
What is x<−4?
300
Solve:
What is –3≤m<2?
300
Solve: ∣x∣<4.
What is −4<x<4?
300
A savings account starts with $150 and increases by $20 per week. How many weeks will it take to have more than $350?
150+20w>350
20w>200
w>10
What is More than 10 weeks → 11 weeks?
400
The solution set of x<–4 includes this number:
–pi, -2pi,0, -4
What is
-2pi
400
Solve: 5−3x≥14.
What is x≤−3?
400
Solve: 3x−1>5 AND x<6.
What is 2<x<6?
400
Solve: -2∣x+2∣≥-6.
What is −5 ≤ x ≤ 1?
400
A phone plan costs $35 per month plus $0.10 per text. If you want your bill to be no more than $50, write and solve an inequality to find the maximum number of texts.
35+0.10t≤50
0.10t≤15
t≤150
What is 150 texts?
500
Write an inequality represented by the interval (−3,7].
What is −3<x≤7?
500
Solve: 4(1-2x)<3x+5.
What is
x > -1/11
500
Solve: −2<4−x≤6.
What is −2≤x<6?
500
Solve:
What is p≤0 or p≥4?
500
You are buying notebooks that cost $3.75 each. You have at most $25 to spend.
Write and solve an inequality to determine the maximum number of notebooks you can buy.
Set up inequality:
3.75n≤25
Solve:
n≤253.75n≤3.7525
n≤6.66…n≤6.66…
Since you cannot buy part of a notebook, you must round down.
What is 6 notebooks?