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What is an inequality?
A mathematical sentence that compares expressions.
What is a solution of an inequality?
A value that makes the inequality true.
What is a solution set?
The set of all solutions of an inequality.
What is a graph of an inequality?
A graph that shows all the solutions of the inequality on a number line.
What does < mean?
Less than
Write the sentence as an inequality: A number y plus 2 is greater than -5
y+2 > -5
Write the sentence as an inequality: A number s minus 2.4 is at least 8.
s-2.4 is less than or equal to 8.
Is the solution of the inequality correct?: 8p<-3 ; p= -2
True
Is the inequality solution true?: z+2 > -4 ;z = -8
False
Is this inequality an open or closed circle?: x < -12
Open circle
Solve: n+2 is less than or equal to -6
n is less than or equal to -8
Solve: t - 3/7 > 6/7
t > 1 2/7
Solve: -3/4 is greater than or equal to w+1
w is less than or equal to -1 3/4
Solve: y - 2.6 < -3.4
y < -0.8
What is the first step of solving an inequality?
Isolating the variable
What is the sign that means less than or equal to?
< with a line under
What does > mean?
Greater than
When do you switch the sign when solving an inequality?
When you multiply or divide by negative numbers.
You plan to study at least 1.5 hours for a geography test. Write an inequality that represents this situation. h stands for the hours you spend studying.
h is greater than or equal to 1.5
Sarah has a $50 gift card for a book store. She wants to buy a book that costs $18. Write an inequality to find out how much more money she can spend without going over the value of her gift card
18+x is less than or equal to 50
Liam needs to save at least $200 for a new bike. He already has $50 saved and plans to save $15 each week. Write an inequality that represents how much he needs to save.
15w+50 is greater than or equal to 200
A person can be no taller than 6.25 feet to become an astronaut pilot for NASA. Your friend is 5 feet and 9 inches tall. Write and solve an inequality that represents how much your friend can grow and still meet the requirement.
5.75+h is less than or equal to 6.25
h is less than or equal to 0.5 feet
Is this inequality an open or closed circle?: -2x + 5 is greater than or equal to 11
Closed circle
Is this inequality a closed or open circle?: c/9 is less than or equal to -4
Closed circle
Is this equation open or closed circle?: 2.2m < 11
Open circle