Final answer:
To find the values of x for which g(x) ≤ 3, we need to analyze the given options a), b), c), and d). The correct option is d) x>3, as it represents all values of x that are strictly greater than 3.
Step-by-step explanation:
To find the values of x for which g(x) ≤ 3, we need to analyze the inequality. In the options given:
- a) x≤3 - This means that x is less than or equal to 3. It includes all values of x from negative infinity up to and including 3.
- b) x<3 - This means that x is strictly less than 3. It includes all values of x less than 3.
- c) x≥3 - This means that x is greater than or equal to 3. It includes all values of x from 3 and above.
- d) x>3 - This means that x is strictly greater than 3. It includes all values of x greater than 3.
Therefore, the correct option is d) x>3, as it represents all values of x that are strictly greater than 3.