Solving Inequalities

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

The symbol '≥' means 'greater than or equal to'.

The symbol '≤' means 'less than or equal to'.

You would shade to the right of 6 (since w ≥ 6) and use a closed dot at 6.

Subtract 1 from both sides to get 4x > 12.

You divide or multiply both sides by the same number, but remember to flip the inequality sign if you multiply or divide by a negative.

An open dot is used when the inequality symbol is < or >, indicating that the endpoint is not included.

Any number greater than 3 is a solution.

You would shade to the left of 2 and use a closed dot at 2.

Subtract 1.75 from both sides to get 0.75n ≤ 18.25, then divide by 0.75 to find n ≤ 24.33.