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 12 ≥ 6w?

Back

Divide both sides by 6: w ≤ 2.

Front

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

Back

Subtract 5 from both sides: x > 2.

Front

How do you solve the inequality -8x < 48?

Back

Divide both sides by -8 (remember to flip the inequality): x > -6.

Front

What does an open dot on a graph represent?

Back

An open dot represents that the boundary point is NOT included in the solution.

Front

What does a closed dot on a graph represent?

Back

A closed dot represents that the boundary point IS included in the solution.

Front

How do you graph the solution x - 41 > 22?

Back

First, solve for x: x > 63. Then, graph with an open dot at 63.

Front

What is the first step in solving an inequality?

Back

Identify the inequality symbol and isolate the variable.