Solving one step 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

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

How do you solve the inequality: 10 ≥ x - 3?

Back

Add 3 to both sides: 10 + 3 ≥ x, which simplifies to 13 ≥ x or x ≤ 13.

Front

What is the solution to the inequality: x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

What does the inequality -6a ≥ -36 imply?

Back

Divide both sides by -6 (remember to flip the inequality): a ≤ 6.

Front

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

Back

Draw a closed circle on 11 and shade to the right.

Front

What is the solution to the inequality: x < 2?

Back

The solution includes all numbers less than 2.

Front

How do you graph the inequality: x ≥ 2?

Back

Draw a closed circle on 2 and shade to the right.

Front

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

Back

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