Inequalities Flashcard Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other. Examples include <, >, ≤, and ≥.

Front

How do you solve the inequality 5n + 3 < 28?

Back

Subtract 3 from both sides: 5n < 25. Then divide by 5: n < 5.

Front

What does the solution n < 5 represent on a number line?

Back

It represents all numbers to the left of 5, not including 5 itself.

Front

Which number satisfies the inequality 3x - 2 < 19 from the set {3, 7, 9, 11}?

Back

The number 3 satisfies the inequality.

Front

How do you graph the inequality -169 ≤ 8m - 9?

Back

First, solve for m: 8m ≥ -160, then m ≥ -20. Graph all numbers greater than or equal to -20 on a number line.

Front

What is the greatest integer that satisfies the inequality 3x + 6 < 21?

Back

The greatest integer is 4.

Front

Back

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary point, while non-strict inequalities (≤, ≥) do include the boundary point.

Front

What does it mean to 'satisfy' an inequality?

Back

To satisfy an inequality means that a particular value or set of values makes the inequality true.

Front

How can you check if a number satisfies an inequality?

Back

Substitute the number into the inequality and see if the statement holds true.