Solving Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '<' mean?

Back

'<' means 'less than'.

Front

How do you solve the inequality k/2 ≥ 8?

Back

Multiply both sides by 2 to get k ≥ 16.

Front

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

Back

Subtract 5 from both sides to get x ≤ 8.

Front

If x + 9 > 21, what is the value of x?

Back

x must be greater than 12.

Front

What does 'fewer than' indicate in an inequality?

Back

'Fewer than' indicates the use of the '<' symbol.

Front

If 7 is less than a number, how is this expressed in inequality form?

Back

This is expressed as x > 7.

Front

What is the solution to the inequality 3x < 12?

Back

Divide both sides by 3 to get x < 4.

Front

How do you check if a value satisfies an inequality?

Back

Substitute the value into the inequality and see if the statement is true.