Graphs and notation
Solve Inequalities
Translate
Compound Inequalities
Word Problems
100
Graph w>13
100
Solve:
4p<32
{p|p<8}
or
(-oo,8)
100
Translate the phrase.
"All real numbers that are less than 12"
x<12
100
Solve.
m-3<6 and m+2>6
{m|4<m<9}
(4,9)
100
Write your answer as an inequality.
A bus can hold 44 people. If there are 35 students in Sam's class, how many more people can ride on the bus?
Possible answers:
At most 9 people
p<=9
0<=p<=9
200
Graph -7<a
200
Solve.
2/3t> -48
{t|t> -72}
(-72,oo)
200
Represent the phrase as an inequality
"Speeds are no less than 65 mile per hour"
s>= 65
200
Solve.
3x+2<=11 or 5x-8>22
{x|x<=3 or x>6}
(-oo,3]uuu(6,oo)
200
The prom committee has no more than $600 to spend on centerpieces for the prom. If each centerpiece costs $25, how many centerpieces the committee can buy?
Sample answers:
up to 24 more centerpieces
c<=24
0<=c<=24
300
Write the inequality in set-builder notation.
10<=b
{b|b>=10}
300
Solve.
x/3-6<= -4
{t|t<=6}
[-00,6)
300
Translate the sentence.
"Students have at most 35 minutes to take the test."
m<=35
300
Solve
2<6+y<=10
{y|-4<y<=4}
(-4,4]
300
Translate the sentence into an inequality:
A kite can be flown no less than 7 mph and no more than 16 mph
7<=k<=16
400
Write the inequality in set-builder notation for the following graph.
{x|-1<=x<5}
400
Solve
h<= (6h+3)/5
{h|h>= -3}
[-3, oo)
400
Translate the phrase
"all real numbers that are greater than 0 and less than 5
0<x<5
400
Solve.
-4<= -2t-6<8
{t|-7<t<=-1}
(-7,-1]
400
Write the answer as an inequality.
The drama club collected $160 from ticket sales for the Spring play. They need to collect at least $400 to pay for new lighting for the stage. If tickets sells for $3 each, how many more tickets need to be sold?
t>=80
500
Write the inequality in set-builder notation.
b> -2 and b<=2
{b|-2<b<=2}
500
Solve.
3r+2(4r+2)<=2(6r+1)
{r|r>=2}
500
Translate the phrase.
"All real numbers except 3"
n!=3
or
n<3 or n>3
500
Which compound inequalities can have O/
as a solution: "and", "or", or both?
"and" because inequalities might not overlap
500
Joey scores 85, 70, and 92 on three math tests. What does he need to score on his fourth math test to have an average of 85 or better for all four tests?
93 or better
t>=93