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 x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

What does a closed dot on a number line represent when graphing inequalities?

Back

A closed dot represents that the number is included in the solution set (used for ≤ and ≥).

Front

What does an open dot on a number line represent when graphing inequalities?

Back

An open dot represents that the number is not included in the solution set (used for < and >).

Front

Solve the inequality x + 7 < 9.

Back

Subtract 7 from both sides: x < 2.

Front

What is the solution to the inequality x - 3 ≥ 5?

Back

Add 3 to both sides: x ≥ 8.

Front

How do you graph the inequality x < 4?

Back

Draw an open dot at 4 and shade to the left.