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, x > 3 means x is greater than 3.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 4 means x is less than 4.

Front

How do you solve the inequality x > 1?

Back

To solve x > 1, you identify all numbers greater than 1 on the number line.

Front

What is the solution to the inequality (n/3) > -20?

Back

The solution is n > -60.

Front

How do you isolate the variable in the inequality -8x < 48?

Back

Divide both sides by -8, remembering to reverse the inequality sign: x > -6.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ -5 means x is greater than or equal to -5.

Front

How do you solve the inequality -1(2x + 4) ≥ 6?

Back

Distribute -1 to get -2x - 4 ≥ 6, then isolate x to find x ≤ -5.

Front

What is the solution to the inequality 4x + 1 > 13?

Back

The solution is x > 3.

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality.