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

'≥' 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 5w ≥ 30?

Back

Divide both sides by 5: w ≥ 6.

Front

What is the solution to the inequality x + 5 > 7?

Back

x > 2.

Front

How do you represent the solution of an inequality on a number line?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥, shading in the direction of the solution.

Front

What is the solution to the inequality 4x + 1 > 13?

Back

x > 3.

Front

How do you solve the inequality -9h > -63?

Back

Divide both sides by -9 (remember to flip the inequality): h < 7.

Front

What does it mean if a variable is isolated on one side of an inequality?

Back

It means that the variable's value can be determined based on the inequality.

Front

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

Back

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