Inequality Symbols
Write the symbol for "greater than".
>
Write an inequality for: “A number is greater than 6.”
x>6
How do you graph x>5 on a number line?
Open circle at 5, shade to the right.
Solve x>4.
All numbers greater than 4.
You must be at least 12 years old to join a club.
x≥12
Write the symbol for "less than or equal to".
≤
Write an inequality for: “A number is less than or equal to 10.”
x≤10
How do you graph x≤2?
Closed circle at 2, shade to the left.
Solve x≤9.
All numbers less than or equal to 9.
A backpack can weigh no more than 25 lbs.
x≤25
Mathematically speaking, what is the difference between < and ≤?
< does not include the number; ≤ includes the number.
Write an inequality for: “A number is at least 4.”
x≥4
Which direction do you shade for x<−1?
To the left.
Solve x<−2.
All numbers less than –2.
A movie ticket costs more than $8.
x>8
When do you use a solid (closed) dot on a number line?
When the inequality includes the number (≤ or ≥).
Write an inequality for: “A number is no more than 12.”
x≤12
Would you use an open or closed circle for x≥7? Why?
Closed circle, because 7 is included.
Solve x≥6.
All numbers greater than or equal to 6.
You need at least 70 points to pass a test.
x≥70
When do you use a dashed (open) dot on a number line?
When the inequality does not include the number (< or >).
Write an inequality for: “A number is more than –3.”
x>−3
Graph x≠3 on a number line.
Open circle at 3, shade both directions.
Solve x≠5.
All real numbers except 5.
A ride allows riders who are less than 48 inches tall.
x<48