Question

reasoning
graph the inequalities ( x > 5 ) and ( x < 5 ). are the graphs the same?
use pencil and paper to explain your reasoning.
are the graphs the same?
( \bigcirc ) yes
( \bigcirc ) no
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Explanation:

Step1: Analyze \( x > 5 \) graph

For \( x > 5 \), on a number line, we use an open circle at \( 5 \) (since \( 5 \) is not included) and draw an arrow to the right (towards values greater than \( 5 \)).

Step2: Analyze \( x < 5 \) graph

For \( x < 5 \), on a number line, we use an open circle at \( 5 \) (since \( 5 \) is not included) and draw an arrow to the left (towards values less than \( 5 \)).

Step3: Compare the graphs

The first graph (\( x > 5 \)) has an arrow to the right of \( 5 \), and the second graph (\( x < 5 \)) has an arrow to the left of \( 5 \). So their graphs are different.

Answer:

No (with the corresponding radio button selected for "No")