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

How do you solve the inequality 5w ≥ 30?

Back

Divide both sides by 5: w ≥ 6.

Front

What is the solution set for the inequality x > 3?

Back

The solution set includes all numbers greater than 3.

Front

How do you graph the inequality x ≤ 4 on a number line?

Back

Draw a solid dot on 4 and shade to the left.

Front

What does the symbol '≤' mean?

Back

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

Front

How do you solve the inequality 4x + 1 > 13?

Back

Subtract 1 from both sides: 4x > 12, then divide by 4: x > 3.

Front

What is the meaning of the inequality -4x + 14 ≤ 54?

Back

It means that the expression -4x + 14 is less than or equal to 54.

Front

How do you find the solution for the inequality x ≥ -10?

Back

The solution includes all numbers greater than or equal to -10.

Front

What does the inequality 11 ≤ a represent?

Back

It represents that a is greater than or equal to 11.