Set 4: Linear Inequalities (Advanced)
Explanation
Which inequality represents all numbers that are more than 5 units away from 0?
or
Detailed Explanation
Choice B is correct. Choice B is the correct answer. Distance from zero on a number line involves both positive and negative directions. 1. Understanding: "More than 5 units from 0" means farther than 5 in EITHER direction 2. Positive side: Numbers (like 6, 7, 100) 3. Negative side: Numbers (like -6, -7, -100) 4. Combine with OR: or Strategic Tip: Distance problems often use "or" to combine two separate regions on the number line. Choice A is incorrect because it only captures positive numbers beyond 5, missing the negative side. Choice C is incorrect because this represents numbers WITHIN 5 units of 0, the opposite of what we want. Choice D is incorrect because includes 5 itself (which is exactly 5 units away, not more than), and misses negative numbers.
Key Steps:
The correct answer is or
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