One Step Inequalities
7 + x < 4
What is x < 3
2x + 5 > 15
What is x > 5
What kind of line would you draw if you had the following: x ≤ 6
Closed Dot at 6, going to the Left
To get the variable by itself on one side of an equation.
Isolate
Isolating
What is the inverse operation to division.
Multiplication
-5x > 25
What is x < 5
x/6 + 3 < 6
What is x < 18
What kind of line would you draw if you had the following: x > -9
Open Dot at -9
To undo an operation you have to use the _________?
Inverse
Opposite
What could be a possible first step to solving
3(f + 2) < 6
Undo The Equation by dividing both sides by 3.
OR
Distribute the 3 into the expression (f+2) by multiplying.
84 ≥ 4x
What is 21 < x
What is x > 21
-3x + 7 ≥ 19
What is x ≤ -4
What kind of line would you draw if you had the following: x > -2 or x ≤ -4
Open Dot at -2, going to the Right
Closed Dot at -4, going to the Left
The number that multiplies by a variable.
Ex) 4x in which the 4 would be the ______
Coefficient
What could be a possible first step to solving
-1/4c > 100
Undo the fraction by multiplying both sides by the reciprocal of
-1/4
- x < 7
What is x > - 7
-3(z + 5) > 15
z < -5
What kind of line would you draw if you had the following: 1< x < 7
Open Dot at 1, going to the Right and ending with an Open Dot at 7
To put/___________ a number into a variable.
Substitute
When are the only time an inequality sign changes directions.
When multiplying or dividing both sides by a negative.
OR
When reversing the inequality around and changing the sides of a variable.
1/3x ≤ 25
What is x ≤ 75
4h + 2(h+8) < -14
h < 5
What kind of line would you draw if you had the following: 17 ≥ x > 13
Closed Dot at 17, going to the Left and ending with an Open Dot at 13.
A value that can be substituted for a variable to make an inequality true.
Solution
Which Step Is There An Error?
Step 1) -3f - 6 > 6
- 6 -6
Step 2) -3f > 0
div -3 div -3
Step 3) f < 0
Step 1) They did not use the inverse operation.