Solving One Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that a value can be either less than or equal to another value.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that a value can be either greater than or equal to another value.

Front

How do you solve the inequality x + 5 > 7?

Back

Subtract 5 from both sides: x > 2.

Front

What is the solution to the inequality p ≤ 35?

Back

The solution includes all values of p that are less than or equal to 35.

Front

If x + 9 > 21, what is the value of x?

Back

x > 12.

Front

What does it mean if an inequality is true for a given value?

Back

It means that when you substitute the value into the inequality, the statement holds true.

Front

How can you represent the inequality 11 ≤ a on a number line?

Back

Draw a closed circle on 11 and shade to the right, indicating all values greater than or equal to 11.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

What is the first step in solving the inequality 3x < 12?

Back

Divide both sides by 3: x < 4.