Simple Inequalities

Front

What is a simple inequality?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

Subtract 14 from both sides: -4x ≤ 40. Then divide by -4 (remember to flip the inequality): x ≥ -10.

Front

What is the solution to the inequality 8x ≥ -32?

Back

Divide both sides by 8: x ≥ -4.

Front

How do you solve the inequality k/12 ≤ 7?

Back

Multiply both sides by 12: k ≤ 84.

Front

What is the solution to the inequality x + 7 < 9?

Back

Subtract 7 from both sides: x < 2.

Front

Which graph represents the inequality -2 ≥ n?

Back

The graph that shows all values less than or equal to -2.

Front

What is the first step in solving a simple inequality?

Back

Identify the variable and isolate it on one side of the inequality.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips direction.