Final answer:
To solve the inequality x² + 0,x ≤ 12, simplify the inequality: x² ≤ 12. Then take the square root of both sides, remembering to consider both the positive and negative square root: x ≤ √(12) or x ≥ -√(12). Since x cannot be the imaginary number -√(12), only consider the positive square root: x ≤ √(12). Finally, express the solution using interval notation: (-∞, √(12)].
Step-by-step explanation:
To solve the inequality x² + 0,x ≤ 12, we first simplify the inequality: x² ≤ 12. Then we take the square root of both sides, remembering to consider both the positive and negative square root: x ≤ √(12) or x ≥ -√(12). Since x cannot be the imaginary number -√(12), we only consider the positive square root: x ≤ √(12). Finally, we express the solution using interval notation: (-∞, √(12)].