Simple Inequalities
A statement comparing two values or expressions that are not strictly equal, using symbols to indicate if one is greater than, less than, or not equal to another.
What is an inequality?
A mathematical statement consisting of two or more inequalities joined together by the words "and" or "or".
What is a compound inequality?
Solve: x +3 < 7
What is x < 4?
Solve: x > 2 AND x < 6
What is 2 < x < 6?
This inequality matches a graph with open circles at 2 and 6, shaded between.
What is 2 < x < 6?
Greater than 6
What is x > 6?
This word means both inequalities must be true.
What is "and"?
Solve: 2x > 10
What is x > 5?
Solve: x ≥ −1 AND x ≤ 3
What is −1 ≤ x ≤ 3?
This inequality matches shading left of 3 with a closed circle.
What is x ≤ 3?
Lowest amount is 8
What is x ≥ 8?
This word means at least one inequality must be true.
What is "or"?
Solve: 2x + 1 ≥ 9
What is x ≥ 4?
Solve: x < 4 AND x > 7
What is no solution?
This graph shows two rays: left of -2 and right of 4.
What is x < −2 or x > 4?
Up to 90
What is x ≤ 90?
This is the set of all values that make an inequality true.
What is the solution set?
Solve: 5x − 2 < 18
What is x < 4?
Solve: 2x > 6 AND x < 5
What is 3 < x < 5?
This graph has no shaded region.
What is no solution?
If you were to say something is taller than 30 in the term of inequalities
What is x > 30?
This type of graph shows all solutions on a number line.
What is a number line graph?
Solve: −3x ≤ 9
What is x ≥ −3?
Solve: −2 ≤ x+1 ≤ 6
What is −3 ≤ x ≤ 5?
This graph shows all values shaded.
What is all real numbers?