Adding and Subtracting inequalities

Front

What is an inequality?

Back

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

Front

How do you solve the inequality x + 5 > 7?

Back

Subtract 5 from both sides: x > 2.

Front

What does the symbol '≥' mean in inequalities?

Back

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

Front

How do you solve the inequality 10 ≥ x - 3?

Back

Add 3 to both sides: x ≤ 13.

Front

What is the solution to the inequality p - 3 > -8?

Back

Add 3 to both sides: p > -5.

Front

How do you graph the inequality x > -2?

Back

Draw a number line, place an open circle at -2, and shade to the right.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'.

Front

How do you solve the inequality -6 < x - 5?

Back

Add 5 to both sides: x > -1.

Front

What is the solution to the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

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

Back

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