Graphing Basic Inequalities
Graph x >= 6
Write an inequality to fit the following situation: Michael plays at least 4 hours of video games a weekend.
m >= 4
5x + 7 > 22
x > 3
4(2x - 6) < 0
x < 3
Johanna has $42 in her lunch account. If lunches cost $2.50, how many lunches can she get? Write an inequality, then solve.
2.50x<=42
She can get a maximum of 16 lunches.
y - 5 < -3
y < 2
2x + 4 <= -2
x <= - 3
1/2 (x + 4) > -6
x > -16
Matt started his own video game rental service. His service charges $10 for a membership with a $7.50 rental fee for each game. Shayden has $40 when he walks into Matt's Video Game Rental Co-Op. What is the maximum number of games Shayden can rent? Write an inequality, then solve.
10+7.50g<=40
Shayden can rent up to 4 games.
8h > -24
h > -3
7 - x < 5
x > 2
32<-8(6+5m)
m < -2
An amusement park charges an admission rate of $4. Each ride costs $2. If Charlie has $10, up to how many rides can he ride?
4+2x<=10
He can ride up to 3 rides.
-4y <-16
y > 4
-2x + 4 < 10
x > -3
-10 > 2 - 4(x - 6)
x>9
Graph -4 < y
Marissa and Shaylee are comparing cell phone plans. Marissa's plan charges $25 a month plus $0.10 per 1 GB of data used. Shaylee's cell phone plan charges $15 per month and an additional $0.15 per 1 GB of Data used. How many gigs of data need to be used for Shaylee's plan to cost more?
25+0.10x<15+0.15x
Shaylee needs to use more than 200 GB of data for her plan to be more expensive.
b/-3 <= 6
b >= -18
y/-8 - 4 < -2
y > -16
y/-3+15>7
y<24