Solving 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

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 x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

What is the solution to the inequality x - 4 > 5?

Back

Add 4 to both sides: x > 9.

Front

How do you solve the inequality -8x < 48?

Back

Divide both sides by -8 (remember to flip the inequality): x > -6.

Front

What does a closed dot on a number line indicate?

Back

A closed dot indicates that the number is included in the solution (≥ or ≤).

Front

What does an open dot on a number line indicate?

Back

An open dot indicates that the number is not included in the solution (> or <).

Front

How do you solve the inequality 4h < 8?

Back

Divide both sides by 4: h < 2.

Front

What is the solution to the inequality x ≥ 3?

Back

The solution includes all numbers greater than or equal to 3.