Just the Basics
What inequality symbol is associated with the phrase, "At least"
> - Greater than or equal to
Solve: m - 5 > -3
What is m > 2
Solve: 5 ≤ v - 4 - 7
*VARIABLE MUST COME FIRST*
What is v ≥ 16
Solve: 2y - 5 > 9 + 3y
*VARIABLE MUST COME FIRST*
What is y < -14
What are the graphing characteristics of x ≥ 1?
INCLUDE - numbers on the graph, type of circle, direction of shade
Numbers on the graph (0,1,2) - Closed Circle - Shade Right
What inequality symbol is associated with the phrase, "Does not exceed"
< - Less than or equal to
Solve: 4 + t ≤ 8
What is t ≤ 4
5m - 10 < -5
What is m < 1
Solve: n - 1 ≥ 3 + 5n
What is n ≤ -1
What are the graphing characteristics of - 4 > y?
INCLUDE - numbers on the graph, type of circle, direction of shade
Numbers on the graph (-5,-4,-3) - Open Circle - Shade Left
Is 0 is a solution of 2y + 1 < -3
No (2*0 + 1 = 1 and 1 > -3)
-2 (4k - 2) ≥ 2(k + 12)
What is k ≤ -2
When we solve an inequality and get the answer of "no solution" or "IMS", what does the graph look like?
TRICK QUESTION! - there is no graph
Is 4 a solution of 5(2g - 6) ≥ 10
Yes 5(2*4 - 6) = 5(8 - 6) = 5(2) = 10... and 10 ≥ 10
Solve: 5m - 3 ≥ -18
What is m ≥ -3
3(h - 2) < 3(h + 2)
IMS - Infinitely Many Solutions
What are the graphing characteristics of the OR statement x < -1 or x > 3 ?
INCLUDE - numbers on the graph, type of circle, direction of shade
Numbers on the graph (-1 and 3) - Closed Circles - Shade outside of the two dots (away from each other)
Write the sentence as an inequality.
Five is no more than the difference of eight and a number c.
5 ≤ 8 - c
Solve: -1.5n ≥ -9
What is n ≤ 6
Solve: 2 - 5n ≤ -8
What is n ≥ 2
4(c - 1) > 2(5 + 2c)
No Solution
What are the graphing characteristics of the AND statement 2 < x < 5 ?
INCLUDE - numbers on the graph, type of circle, direction of shade
Numbers on the graph (2 and 5) - Open Circles - Shade in the middle of the two dots