Graphing and Writing Inequalities
When graphing inequalities, which symbols have an OPEN circle?
< Less Than
> Greater Than
2x > 8
x > 4
Solving Inequalities
Solve for x.
4x + 3 < 7
What is:
x < 1
Solving Inequalities
-4f + 6 < 18
What is:
f > -3
When graphing inequalities, which inequality symbols have a CLOSED circle?
≤ : Less Than or Equal to
≥ : Greater than or Equal to
X + 4 <= -88
X <= -92
Solving Inequalities
Solve for x.
2x - 5 > - 11
What is:
x > -3
Solve an Inequality
8 < 4d + 12
d > -1
You have $20 to spend on takis that are $4 each. Write an inequality that shows how many takis you can buy without going over your budget.
4t <= 20
When does the line on the graph go to the Left? When x is bigger or smaller? Write an example.
Smaller ; x < 67
x/3 > 7
x > 21
Solving Inequalities
Solve for x.
-9x + 1 > -71
What is:
x < 8
Solve
-3p + 1 < -11
p > 4
You want to doordash Mcdonald's and have $15 in the account. How many McChickens can you get if they are $2 each with a $3 delivery fee? Write and solve the inequality.
2m + 3 <= 15
m <= 6
Graph -3 > x on a number line.
open circle
Left from -3
-4x < 14
x > -7/2 OR x > -3.5
Solve for v.
x/3 + 14 < 30
x < 48
Solve the inequality
5(p - 2)< -30
p < -4
Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. What is the least number of cars she can wash to buy the headphones?
c >= 15
Graph this inequality: -x < 5
Get rid of the negative and graph x > -5
x/-5 >= 3
x <= -15
Inequalities
11 < 2 - 3x
x < -3
-3 > x
-12 < -7x + 6 + 4x
x<6
You have $50 in your pocket. A taxi has a ride fee of $5 plus an additional fee of $0.60 per mile, what is the most miles you could ride in the taxi without using all of your money?
x < 75