One Step Inequalities
x + 3 > 4
x > 1
2x +3 ≤ 0
x ≤ -6
What is the meaning of this sign <?
Less than
Tell me what a value of x could be:
x ≥ -3
-3, -2, -1, 0, 1, 2, 3, 4...
What is the first thing we have practiced when solving an inequality?
Change the inequality sign to an equal sign
x - 5 ≥ 10
x ≥ 15
x/3 + 1 > 7
x> 18
What is the meaning of this sign >?
Greater than
Tell me a value that x could be:
x/2 > 3
7,8, 9, 10...
True or False: When I multiply or divide by a negative number, I change the sign from greater than to greater than or equal to
False: You change the way it's facing. For example, change a greater than sign to a less than sign
2x ≤ 8
x ≤ 4
-2x + 1 < 5
x > -2
What is the meaning of this sign ≤ ?
Less than or equal to
Tell me a value x could be:
2x ≤ 6
3, 2, 1, 0, -1...
If I add 3 to the left side of the inequality, what do I do to the right side?
x/2 < 4
x <8
-2x-8 ≥ -6
x ≤ -1
What is the meaning of this sign ≥ ?
Greater than or equal to
Tell me a value x could be:
-4x +1 ≤ 17
-4, -5, -6, -7...
What must I do first to solve for an inequality?
Identify addition or subtraction and then take the inverse from both sides
-x < 3
x > -3
-5(n+10) ≥ -25
n ≤ -5
What is the difference between ≥ and >
≥ can be equal to the value while > has to be greater than and not equal to
Tell me a value x could be:
-6(x+8) < -60
x> 2
so: 3,4,5,6,7...
Tell me all of the inverses of one another.
Inverse of multiplication is division
Inverse of division is multiplication
Inverse of addition is subtraction
Inverse of subtraction is addition