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 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 s + 9 ≥ -25?

Back

Subtract 9 from both sides: s ≥ -34.

Front

What is the solution to the inequality m - 5 > 10?

Back

Add 5 to both sides: m > 15.

Front

How do you solve the inequality 7b - 3 < 11?

Back

Add 3 to both sides: 7b < 14, then divide by 7: b < 2.

Front

What is the solution to the inequality 1 + 3r > 10?

Back

Subtract 1 from both sides: 3r > 9, then divide by 3: r > 3.

Front

How do you solve the inequality -2k > 18?

Back

Divide by -2 (remember to flip the inequality): k < -9.

Front

What is the difference between 'greater than' and 'greater than or equal to'?

Back

'Greater than' (>) means the value is strictly larger, while 'greater than or equal to' (≥) includes the possibility of being equal.

Front

What does it mean to graph an inequality on a number line?

Back

Graphing an inequality shows all the possible solutions on a number line, using an open circle for < or > and a closed circle for ≤ or ≥.