Question 1
A number line shows an open circle at 4 with an arrow pointing to the right. Which inequality does this represent?No clue? Show me the answer
Correct answerCorrect!
IncorrectStep-by-step walkthrough
Choose a solution method
Method #1Direct ApproachStep 1: Identify the boundary value and circle type
The boundary value is 4. The circle is open, which means 4 is not included in the solution — this tells us we have a strict inequality ( or ).
Step 2: Determine direction from the arrow
The arrow points to the right, which means the solution includes values greater than 4. Numbers to the right on a number line are always larger.
Step 3: Write the inequality
Open circle (not included) + arrow pointing right (greater than) gives us .
Method #2Process of EliminationStep 1: Note the key features
We have an open circle at 4 and an arrow pointing right. We need both clues to identify the correct inequality.
Step 2: Eliminate $x \geq 4$ and $x \leq 4$
Both and use the or symbols, which require a closed (filled) circle because 4 would be included. Our circle is open, so neither can be correct.
Step 3: Eliminate $x < 4$
would have an arrow pointing left (toward smaller values). Our arrow points right, so this is wrong.
Step 4: Select the correct answer
The remaining option, , matches: open circle (4 not included) and arrow pointing right (greater than 4).
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