Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, a > 4 means 'a is greater than 4'.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, a < 6 means 'a is less than 6'.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 10000 means 'x is greater than or equal to 10000'.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, k ≤ -11 means 'k is less than or equal to -11'.

Front

How do you solve the inequality y - 13 ≤ -15?

Back

Add 13 to both sides: y ≤ -2.

Front

If 6 > x, what can we conclude about x?

Back

x must be less than 6.

Front

What is the solution to the inequality a > 6?

Back

The solution is all values of a that are greater than 6.

Front

How do you represent 'at least' in an inequality?

Back

'At least' is represented by the symbol '≥'. For example, 'at least 10,000' is written as x ≥ 10000.

Front

What is the first step in solving the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides: 2x < 8.