determine which of the following values are included in the solution set shown on the number line.
determine which of the following values are included in the solution set shown on the number line.
Answer
Explanation:
Step1: Analyze the number line
The number line has a closed - dot at (1.2) and the arrow points down (to the right if we consider the standard number - line orientation where larger numbers are to the right). So the inequality represented is (x\leqslant1.2).
Step2: Compare each value
- For (x = 1.15): Since (1.15<1.2), (1.15) is included in the solution set.
- For (x = 0): Since (0<1.2), (0) is included in the solution set.
- For (x = 1.02): Since (1.02<1.2), (1.02) is included in the solution set.
- For (x = 1.25): Since (1.25>1.2), (1.25) is not included in the solution set.
Answer:
(1.15), (0), (1.02)