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 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less 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 -8x < 48?

Back

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

Front

How do you graph the inequality x ≥ 3 on a number line?

Back

Draw a solid dot on 3 and shade to the right.

Front

What does the solution x < -4 represent on a number line?

Back

It represents all numbers less than -4, shaded to the left of -4.

Front

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

Back

Add 4 to both sides: x > 9.

Front

What does the inequality x > 3 mean?

Back

It means x can be any number greater than 3.

Front

How do you solve the inequality 2x + 3 ≤ 11?

Back

Subtract 3 from both sides: 2x ≤ 8, then divide by 2: x ≤ 4.