Writing Inequalities
A number y is less than 6.
y < 6
d - 5 > 15
d > 20
Graph:
g < 3
Open circle; Arrow to the left
3x - 1 ≥ 14
x ≥ 5
A road has a speed limit of 30 mi/h. Write an inequality that describes the legal speeds r for motor vehicles.
A. r < 30 B. r > 30
C. r ≥ 30 D. r ≤ 30
D. r ≤ 30
A number 5 is greater than f.
5 > f
2p ≥ 38
p ≥ 19
Graph:
h > 5
Open circle; arrow to the right
5 + x/3 ≤ 20
x ≤ 45
Together, Louisa and Jill scored more than 30 points in the basketball game. If Jill scored 12 points, how many points P did Louisa score?
A. P > 18 B. P > 42
C. P < 42 D. P < 18
A. P > 18
P + 12 > 30
P > 18
A number b times -2 is no more than 30.
-2b ≤ 30
8 + c < 60
c < 52
Graph:
f + 3 ≥ 10
f ≥ 7
Closed Circle; arrow to the right
-5x + 1 < 21
x > -4
Which inequality is true?
A. 4(6) > 26 B. 6 + 11 <14
C. 10 – 6 < 5 D. 6 + (–1) > 5
C. 10 - 6 < 5
4 < 5
TRUE
There are no less than 20 students.
s ≥ 20
r/-2 ≤ -12
r ≥ 24
Graph:
4x + 8 ≤ 20
x ≤ 3
Closed Circle;
Arrow to the Left
-2x - 18 > -10
x < -4
Four times the sum of a number and 15 is at least 120. Let x represent the number. Find all possible values for x.
A. x ≥ 26 B. x ≥ –15
C. x ≥ 15 D. x ≥ –26
C. x ≥ 15
4(x + 15) ≥ 120
x + 15 ≥ 30
x ≥ 15
A number g divided by 2 is at least 47.
g/2 ≥ 47
-4x < 16
x > -4
Graph:
-6x - 5 ≤ -29
x ≥ 4
Closed Circle
Arrow to the right
-10t - 15 < -45
t > 2
A small airplane can carry less than 1,050 pounds of luggage and mail. The mail for the day weighs 490 pounds. If each passenger brings 70 pounds of luggage, what is the greatest possible number of passengers that can be taken?
A. 15 passengers B. 7 passengers
C. 8 passengers D. 9 passengers
C. 8 Passengers
70x + 490 < 1050
70x < 560
x < 8