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

What does the symbol '≤' mean?

Back

The symbol '≤' 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 does the solution w ≥ 6 mean on a number line?

Back

It means all numbers 6 and greater are included in the solution.

Front

What is the first step in solving the inequality x + 4 ≤ -18?

Back

Subtract 4 from both sides: x ≤ -22.

Front

Translate: A number decreased by 3 is greater than 10.

Back

x - 3 > 10.

Front

What does the solution 2x < 42 represent?

Back

It represents all numbers x that, when multiplied by 2, are less than 42.

Front

How do you represent the inequality 5 ≥ x on a number line?

Back

Draw a closed dot at 5 and shade to the left.

Front

What does a closed dot on a number line indicate?

Back

A closed dot indicates that the number is included in the solution.