Solving Inequalities
What happens what you multiply or divide an inequality by a negative number?
You always must flip the inequality sign.
True or False?
To be a solution to an "or" inequality, the number must satisfy both inequalities.
False. To be a solution to an "or" inequality, the number can satisfy one inequality, or the other, or both.
Explain using words why absolute value equations can never equal a negative.
Absolute value represents a number's distance from zero on a number line. Distance cannot be negative, which is why absolute value equations cannot equal a negative.
The word "per" means which mathematical operation (addition, subtraction, multiplication, division) should be used?
Multiplication
Name 4 players in the NBA.
See answers
Solve and graph:
2x + 1 < 7
x < 3
Create and graph an "and" compound inequality.
ex) x > 0 and x < 4
ex) -2 < x < 9
How many solutions does the following absolute value equation have?
|x + 5| + 2 = 2
One solution: -5
Write an inequality to represent the scenario: The five books that Masi bought at some cost less than twenty dollars
5x < 20
How many zero's are in ten billion
10
Solve and graph:
-1/3x + 2 < 5
x > -9
Solve and graph:
-3 < m - 5 < -1
2 < m < 4
Solve:
- |-5x| = -25
x = 5, x = -5
Write an inequality to represent the scenario: You should go to the doctor if your body temperature is below 95 degrees or above 103 degrees
t < 95 or t > 103
Name 5 countries that start with the letter "a"
See answers
Solve without a calculator. Make sure your answer is simplified:
3x/11 < 5/10
x < 11/6
Create a compound inequality for the following scenario:
Cook the steak between 2 - 3 minutes on both sides
2 < or equal to x < or equal to 3
Solve and graph:
|v + 5| < 9
-14 < x <4
An Uber charges a flat rate of $1.75, plus an additional $0.65 per mile. If Christal has at most $10 to spend on the Uber ride, how far could she travel?
You will get a decimal.
No more than 12.7 miles
What is Daysha's leopard gecko's name?
PESTOOOO
Solve and graph:
-4(4 + 7x) + x > -6x +5
x < -1
Solve:
4b + 8 > 11b + 15 and 13 - 14b < 13 - 3b
Solve:
5 |9 - 5n| - 7 = 38
n = 0, n = 18/5
Ronak has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Ronak withdraw money from his account?
Write your answer as a sentence.
No more than 12 weeks
Who is the current vice president of the United States?
Kamala Harris