Simple Inequalities

Front

What is a simple inequality?

Back

A mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≥' mean?

Back

It means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

It means 'less than or equal to'.

Front

How do you solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides to get x ≤ 8.

Front

What is the solution to the inequality -4x + 14 ≤ 54?

Back

x ≥ -10.

Front

How do you isolate k in the inequality k/12 ≤ 7?

Back

Multiply both sides by 12 to get k ≤ 84.

Front

What is the graph of the inequality r ≥ -6?

Back

A number line starting at -6 and shading to the right, including -6.

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.

Front

How do you graph the inequality x < 3?

Back

Draw a number line, place an open circle at 3, and shade to the left.

Front

What is the solution set for the inequality 2x - 4 > 6?

Back

x > 5.