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

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

How do you solve the inequality -9x + 7 ≥ 25?

Back

Subtract 7 from both sides: -9x ≥ 18. Then divide by -9 (remember to flip the inequality): x ≤ -2.

Front

What is the solution to the inequality 8m - 9 > 71?

Back

Add 9 to both sides: 8m > 80. Then divide by 8: m > 10.

Front

How do you solve the inequality 15 + 7x ≥ 29?

Back

Subtract 15 from both sides: 7x ≥ 14. Then divide by 7: x ≥ 2.

Front

What is the solution to the inequality -8x < 48?

Back

Divide by -8 (remember to flip the inequality): x > -6.

Front

What is the difference between '>' and '≥'?

Back

'>' means 'greater than' while '≥' means 'greater than or equal to'.

Front

What is the difference between '<' and '≤'?

Back

'<' means 'less than' while '≤' means 'less than or equal to'.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities, such as a < x < b.