Writing &Graphing
Write an inequality for: A number x is greater than 6.
x>6
Solve: x+5>12
x>7
2x + 5 > 13
x > 4
3 < x + 2 <9
1 < x < 7
Solve: |x| < 5
-5 < x <5
Graph the inequality x ≤ 4 on a number line.
Closed circle at 4, shade to the left.
Solve:a-7≤10
a≤17
3x - 7 ≤ 14
x ≤ 7
2x > 6 and x + 1 < 6
3 < x < 5
Solve: |x| ≥ 7
-7 ≥ x ≥ 7
Write an inequality for: A number x is at least 9.
x ≥ 9
Solve: -4b > 20
b< -5
4x + 7 > 2x + 15
x > 4
Solve:x - 4 < -2
x < 2
Solve: |x - 2| ≤ 6
-4 ≤ x ≤ 8
Write an inequality for: A number x is no more than 12.
x ≤ 12
Aaliyah has $45 to spend at the mall. She already spent $17. Write and solve an inequality to find the most she can still spend.
17 + d≤ 45
d≤28
A bowling alley charges $8 to enter and $4 per game. Jordan has no more than $32 to spend. How many games can Jordan play?
8 + 4g ≤ 32
g ≤ 6
To ride a roller coaster, a rider must be at least 48 inches tall but no more than 76 inches tall. Write a compound inequality for the possible heights.
48 ≤ h ≤ 76
A thermostat is set to 70°F. The temperature can be no more than 4°F away from 70°F. Write and solve an absolute value inequality to find the acceptable temperatures.
|t - 70| ≤ 4
66 ≤ t ≤ 74
Write an inequality for: Three times a number n is greater than or equal to 18.
3n ≥ 18
Emily is saving for a $120 pair of shoes. She already has $36 and saves $12 each week. How many weeks does she need to save to have at least $120?
36 + 12w ≥ 120
w ≥ 7
A gym charges a $25 sign-up fee plus $15 per month. Taylor can spend no more than $130. How many months can Taylor afford?
25 + 15m ≤ 130
m ≤ 7
A school club requires members to volunteer between 12 and 20 hours each month. Sam has already volunteered 5 hours. How many more hours, h, must Sam volunteer?
12 ≤ h + 5 ≤ 20
7 ≤ h ≤ 15
A machine fills bags with 16 ounces of candy. A bag is accepted if its weight is within 0.5 ounces of 16 ounces. Write and solve an absolute value inequality to find the acceptable weights.
|w - 16| ≤ 0.5
15.5 ≤ w ≤ 16.5