Set 5: Linear Inequalities (Advanced)
Explanation
Which graph correctly represents the solution to ?
Open circle at -2, shading to the left
Closed circle at -2, shading to the right
Open circle at -2, shading to the right
Closed circle at -2, shading to the left
Detailed Explanation
Choice B is correct. Choice B is the correct answer. Graphing inequalities on a number line requires understanding symbols and shading. 1. Symbol interpretation: means "greater than or equal to", so include -2 itself (closed circle) 2. Direction: "Greater than" means values to the right on the number line 3. Result: Closed circle at -2, shading right Strategic Tip: Use closed circles for or (includes the value), open circles for or (excludes the value). Choice A is incorrect because it uses an open circle (excluding -2) and shades left (less than), both wrong. Choice C is incorrect because while it shades right (correct direction), it uses an open circle, excluding -2. Choice D is incorrect because it has a closed circle (correct) but shades left, representing instead.
Key Steps:
The correct answer is Closed circle at -2, shading to the right
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