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 8x ≥ -32?

Back

Divide both sides by 8: x ≥ -4.

Front

What is the solution to the inequality x > -28?

Back

The solution is all values of x that are greater than -28.

Front

Match the inequality 11 ≤ a with its graph.

Back

The graph shows a closed circle at 11 and a line extending to the right.

Front

How do you solve the inequality 8x - 19 < 13?

Back

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

Front

What is the solution of k/-12 ≤ -7?

Back

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

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that satisfy the inequality.

Front

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

Back

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