Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality 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 10 ≥ x - 3?

Back

Add 3 to both sides to get 13 ≥ x, which can be rewritten as x ≤ 13.

Front

What is the solution to the inequality 6 - 2h > 30?

Back

Subtract 6 from both sides to get -2h > 24, then divide by -2 (remember to flip the inequality) to find h < -12.

Front

How do you graph the inequality 11 ≤ a?

Back

You would draw a number line, place a closed circle on 11, and shade to the right to indicate all values greater than or equal to 11.

Front

What is the solution to the inequality 8x ≥ -32?

Back

Divide both sides by 8 to get x ≥ -4.

Front

What does the inequality x > -28 represent?

Back

It represents all values of x that are greater than -28.

Front

How do you interpret the inequality 11 > a?

Back

This means that a can take any value less than 11.

Front

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

Back

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