SOLVE IT (easier)
STEPS
VOCAB
FACTS
SOLVE (harder)
GRAPH
100
x+5>12
x>7
100
What should you do first? x + 2> 13
subtract 2 from both sides
100
Which sign goes with the word AT LEAST ?
Greater than or equal to
>=
100
What is the goal when solving inequalities?
Isolate the variable or get the variable by itself on the left side of the inequality sign
100
x + 6 < -23
x < -29
100
Explain how to graph
x< -1
200
18 + x < 6
x < -12
200
What is the first step?
m/3>15
Multiply 3 on both sides of the inequality
200
Which sign goes with the word AT MOST ?
Less than or equal to
<=
200
Would 2 be a solution to the following inequality? Explain
x + 6> 8
No because 8 is not greater than 8
200
x - 14 >= 52
x >= 66
200
x>= -2
300
x-4>=17
x>=21
300
What step should you do first?
x-4<-6
Add 4 on both sides of the inequality sign.
300
Which sign goes with the word NO MORE THAN ?
Less than or equal to
<=
300
What two things must you do to solve an inequality or an equation?
Opposite and Balance
300
15 + a > 12
-3
300
Explain what an open circle means when graphing an inequality
An open circle does not include the number.
400
2x<=20
x<10
400
Name the first step.
7 + x > 14
Subtract 7 on both sides
400
Which sign goes with the word NO FEWER THAN ?
Greater than or equal to
>=
400
How do I know whether to use an open or closed circle when graphing inequalities on the number line?
Open circles are for less than or greater than symbols. Closed circles are for less than or equal to or greater than or equal to Symbols.
400
-2x<32
x>-16
400
Explain what a closed circle means when graphing an inequality.
A closed circle means the number is included.
500
x/4 > 12
x>48
500
Explain how to solve the following problem:
2x >90
you divide 2 on both sides of the inequality sign
500
Which sign goes with the phrase NOT MORE THAN ?
Less than
<
500
After solving an inequality, why would you flip everything?
You flip every thing when the variable is on the right side so that you can get it on the left side where it belongs.
500
p/-9< 81
p> -729
500
How can you determine which direction to shade when graphing an inequality?
You shade in the direction that the inequality symbol points.