Signs
What does this symbol mean <?
Less than
Which symbol uses an open circle when graphed on a number line?
< or > (Less than or Greater than)
Solve: x + 5 < 12
x < 7
Solve: 2x + 3 < 11
x < 4
Solve: 2(x + 4) < 16
x < 4
What does this symbol mean >?
Greater than
Which symbol uses a closed (solid) circle on a number line?
≤ or ≥ (Less than or equal to or Greater than or equal to)
Solve: y - 4 ≥ 10
y ≥ 14
Solve: 5x - 4 ≥ 16
x ≥ 4
Solve: 4x + 6 > 2x + 12
x > 3
What does this sign mean ≤ ?
Less than or equal to.
On a graph of x > 4, what type of circle goes on the number 4?
Open circle
Solve: 3m > 15
m > 5
Solve: -3x + 7 > 1
x < 2 (Remember to flip the sign!)
Solve: 3(x - 2) ≤ 12
x ≤ 6
What does this sign mean ≥ ?
Greater than or equal to.
When graphing x > -2, which direction does the arrow point?
To the right
Solve: x / 2 ≤ 8
x ≤ 16
x / 2 + 5 ≤ 9
x ≤ 8
Solve: 7x - 5 ≥ 3x + 11
x ≥ 4
If you divide by a negative what has to happen to the symbol?
It has to flip.
When graphing x ≤ 5, which direction does the arrow point?
To the left.
Solve: -4k < 20
k > -5 (Remember to flip the inequality sign when dividing by a negative!)
Solve: -4x - 6 ≥ 14
x ≤ -5 (Remember to flip the sign!)
Solve: -2(x - 3) > 16
x < -5 (Remember to flip the sign!)