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?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the inequality 2 < x + 2 < 5?

Back

Subtract 2 from all parts: 0 < x < 3.

Front

What is the solution to the inequality 10 ≥ x - 3?

Back

The solution is x ≤ 13.

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

Subtract 14 from both sides: -4x ≤ 40, then divide by -4 (reverse the inequality): x ≥ -10.

Front

What is the solution to the absolute value inequality |2x - 1| ≤ 7?

Back

The solution is -3 ≤ x ≤ 4.

Front

What is the first step in solving an inequality?

Back

Isolate the variable on one side of the inequality.