Multi Step Inequalities
Solve and Graph!
-3x > 9
x< -3
Solve and graph!
10 + x > 15 and x - 6 < 12
x > 5 and x < 18
5 < x < 18
Solve and graph!
|a| >= 6
Jessica has a gift card with a $50 balance. She wants to buy coffee that costs $3 per cup. Set up and solve an inequality to find the maximum number of cups of coffee she can buy.
3x < 50
x < 16 cups of coffeeWhat den is Mr. Glover in?
Den of Perseverance!!! "P-Den"
What is the first step in solving?
x/5 + 10 < 20
Subtract 10 on both sides
x/5 + 10 (-10) < 20 (-10)
Solve and graph!
4x + 1 > 13 or -10 > 7x + 4
x > 4 or -2 > x
What type of compound inequality is formed by this absolute value inequality?
|6x + 104| < 4x
"and" compound inequality
A school bus can hold at most 75 students. If 23 students are already on the bus, set up and solve an inequality to determine how many more students can get on the bus.
23 + s <= 75
s <= 52 students
What is the top grossing superhero movie of all time?
Avengers: Endgame
What is the minimum number of steps required to solve this inequality?
10r + 1 > 5 - 4r + 9
4
1. Combine like terms
2. Move variables to one side
3. Inv of addition
4. Inv of multiplication
Tell whether the value of x is valid in the inequality:
14 - 10 < 3x + 1 < 43
x = 0
Not valid!
1 < x < 14
x is outside the range
Solve and graph!
6 > 7 + |5x + 10|
-1 > absolute value!!!
NO SOLUTION
A company's daily profit, P, is calculated by the formula P=15x−300, where x is the number of items sold. For the company to make a profit of at least $150 per day, set up and solve an inequality to find the minimum number of items it must sell.
15x - 300 >= 150
x >= 30 items sold
What math-y holiday is celebrated every year in March?
Pi day! (3/14)
Solve and graph!
6x + 5 >= 2(3x + 14)
5 > 14 !!!! NO SOLUTION
Solve and graph!
-3x + 12 < 9.5 or 10x - 25 < 75
x > -0.83 and x < 10
Solve and graph
5|4 - x| - 10 > 30
x < -4 or x > 12
The perimeter of a rectangular garden must be less than 80 feet. The length of the garden is 5 feet more than twice its width. Set up and solve an inequality to find the greatest possible integer value for the width.
(Perimeter = 2*width + 2*length)
2(2w + 5) + 2w < 80
w < 11.66 ft
greatest integer value is 11 ft.
What is Nevada's state bird?
Mountain Bluebird (from the bell work :p )
Solve and graph!
-4x/5 - 19 <= 2x/5 - 41
50 <= x
7x - 16 > 10x + 5 or 48 - x < 4(21)
-7 > x or x > 36
Solve and graph!
10|x+3| + 10 > 5
absolute value > -0.5!
All real numbers!
To determine if a batch of machine parts meets quality standards, the diameter of each part must be within 0.025 inches of the ideal diameter of 3.5 inches. Set up and solve an absolute value inequality to find the range of acceptable diameters for a part.
|x-3.5| <= 0.025
x<= 3.525 and x >= 3.475
What is shark skin made of?
Dermal Denticles