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 in inequalities?

Back

The symbol '>' means 'greater than'. For example, a > b means a is greater than b.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, a < b means a is less than b.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, a ≥ b means a is greater than or equal to b.

Front

What does the symbol '≤' mean in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, a ≤ b means a is less than or equal to b.

Front

How do you solve the inequality -7 + 10z > -27?

Back

Add 7 to both sides: 10z > -20. Then divide by 10: z > -2.

Front

What is the solution to the inequality k/-12 ≤ -7?

Back

Multiply both sides by -12 (remember to flip the inequality): k ≥ 84.

Front

How do you graph the inequality a ≥ 11?

Back

Draw a solid dot on 11 and shade to the right, indicating all values greater than or equal to 11.

Front

What is the solution to the inequality 8x - 19 < 13?

Back

Add 19 to both sides: 8x < 32. Then divide by 8: x < 4.

Front

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

Back

Add 3 to both sides: 13 ≥ x, or x ≤ 13.