Make sure to solve, graph and write the interval notation.
27>9x
(- oo, 3)
Make sure to solve, graph and write the interval notation.
-8n-17<= -7(n+3)
[4,oo)
Which symbols do the following key words represent:
- at least
- more than
- less than
- no more than
>=
>
<
<=
Graph the following
K>=3
Write out the following symbols:
< & >
Less than and Greater than
Make sure to solve, graph and write the interval notation.
-12>=-4-b
[8,oo)
Make sure to solve, graph and write the interval notation.
-4(8x-7)>28-6x
-4(8x-7)>28-6x
Belinda wants to buy some fish for
her aquarium. She has $27 to
spend and the fish cost $4.50 each.
Write and solve an inequality to
find how many fish Belinda can
afford.
No More than 6 fish
4.50x<=27
x<=6
Graph the Following
b<=-3
Write out the following two symbols:
<= & >=
Less than or equal to and greater than or equal to
Make sure to solve, graph and write the interval notation.
-1+10a>=-111
[-11,oo)
Make sure to solve, graph and write the interval notation.
3v+9<3(v+5)
(-oo,oo)
Marva needs at least $130 to buy a new dress. She has already saved $58. She earns $8 an hour tutoring. Write and solve an inequality to find how many hours she will need to tutor to buy the dress.
She will need to tutor for at least 9 hours.
8h+58 >= 130
h >= 9
Write the Inequality and Interval Notation for the following
n<=6
(-oo,6]
What are the two situations that would require us to flip the inequality sign?
One situation is when we want to flip/swap the inequality to have our variable on the left side.
The second is when we multiple or divide by a negative number.
Make sure to solve, graph and write the interval notation.
-180> -9(a+6)
(14,oo)
Make sure to solve, graph and write the interval notation.
2(x-2)<=2(x-5)
An online store has the following advertisement on there homepage. “FREE Standard Shipping when you spend $75 or more!” You have already spent $24 shopping online for clothes.
a) Write and solve an inequality to represent the additional amount you must spend to get free shipping.
b) You find a pair of shoes that cost $51. Will the clothes and the shoes be enough to get free shipping? Explain
a. You have spend an additional $51 to receive free shipping.
24+x>=75
x>=51
b. Yes it will because all we needed was an additional $51 as found in part a, because our initial $24 with the additional $51 dollars gets us to the $75 or more dollars needed.
Write the Inequality and Interval Notation for the following
n> -3
(-3,oo)
What is the inequality and graph for the following interval.
[-4,oo)
The graph should have a closed circle at -4 and go to right all the way to positive infinity.
X>=-4
Make sure to solve, graph and write the interval notation.
n/-4 -10> -11
(-oo,4)
Make sure to solve, graph and write the interval notation.
2a+8a<-5(4a+6)+5(2+8a)
(2,oo)
A one-way bus ride costs $1.75. A 30-day bus pass costs $42.
a) Write and solve an inequality to find the least number of one-way rides you must take for the 30 day pass to be a better deal.
b) You ride the bus an average of 20 times each month. Is the pass a better deal? Explain.
a. At 25 single one-way rides the 30-day bus pass becomes the better deal.
1.75x>= 42
x>=24
b. No, the pass is the better deal because on average you are not riding the bus for 25 times or more every month.
Write the Inequality and Interval Notation for the following
a>=0
[0,oo)
Without solving do we have to flip the following
4(-x+7)+5>50
Yes because your X term is negative on the left therefore you will have to divide by a negative.