1. The problem involves understanding and placing inequalities on a number line. 2. Inequalities describe ranges of values for $x$ such as $x < 2$, $0 < x$, or $x \geq 1$. 3. Important rules: - $x < a$ means all values less than $a$. - $x \leq a$ means all values less than or equal to $a$. - $x > a$ means all values greater than $a$. - $x \geq a$ means all values greater than or equal to $a$. 4. Each card shows an inequality and a number line segment representing the solution set. 5. To solve the puzzle, match each inequality card with the corresponding number line segment. 6. For example, for $0 < x$, the number line shows all values greater than zero. 7. For $x \leq 3$, the number line shows all values up to and including 3. 8. The goal is to place these cards correctly in the grid based on their inequalities and number line representations. This is a conceptual matching problem rather than a calculation. Final answer: Place each card in the grid so that the inequality matches the number line segment shown on the card.