Final answer:
To solve the inequality 0≤1/4ˣ²−4, you rewrite it in standard form, factor it, analyze the critical points, and determine the solution set. Without completing the steps here, the general solution would be x ≤ -4 or x ≥ 4.
Step-by-step explanation:
The inequality in question is 0≤1/4ˣ²−4. To solve this type of inequality, we need to bring the terms to one side and factor the resulting expression. However, the provided fragments of solutions seem disjointed and incomplete, making it challenging to provide a step-by-step solution based on them. Instead, we will assess the inequality directly.
Let's understand the inequality properly:
- Rewrite the inequality in standard form: x² - 16 ≥ 0.
- Factor the quadratic: (x - 4)(x + 4) ≥ 0.
- Analyze the critical points at x = 4 and x = -4.
- Use a sign chart or test values in intervals to determine where the expression is positive or zero.
- Conclude that the solution set for x is x ≤ -4 or x ≥ 4.
This is just a general step-by-step guide, not the final step-by-step solution. Normally you'd use one of the methods of solving quadratic inequalities to reach the solution.