Solving Inequalites

Front

Define an inequality.

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≤' represent?

Back

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

Front

What does the symbol '≥' represent?

Back

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

Front

How do you solve the inequality n - 2 ≤ 4?

Back

Add 2 to both sides: n ≤ 6.

Front

What is the solution to the inequality r + 13 < 9?

Back

Subtract 13 from both sides: r < -4.

Front

Solve the inequality 10 < 3x + 19.

Back

Subtract 19 from both sides: 3x > -9, then divide by 3: x > -3.

Front

What is the solution to the inequality -4x + 14 ≤ 54?

Back

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

Front

How do you solve the inequality 3x - 5 > -26?

Back

Add 5 to both sides: 3x > -21, then divide by 3: x > -7.

Front

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

Back

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

Front

What is the graphical representation of an inequality?

Back

An inequality is represented on a number line with an open circle for strict inequalities and a closed circle for non-strict inequalities.