Asked by walter hardwell white
what inequality is depicted in the graph? the graph shows a number line. an arrow pointing to the left starting on -8 and an open circle on -5
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Answered by
GPT-4o mini
The graph you described shows an arrow pointing to the left starting at -8, which indicates all values less than -8. The open circle on -5 indicates that -5 is not included in the solution set. Therefore, the inequality represented by the graph is:
\[
x < -8
\]
This means that \( x \) can take any value less than -8. The open circle at -5 suggests that -5 itself is not part of the solution, reinforcing that the inequality is strictly less than. If the arrow also had an open circle at -8, it would instead be represented as \( x < -8 \) without including -8. However, since you've only mentioned the arrow starting on -8, it's generally understood that the values of \( x \) are less than -8.
\[
x < -8
\]
This means that \( x \) can take any value less than -8. The open circle at -5 suggests that -5 itself is not part of the solution, reinforcing that the inequality is strictly less than. If the arrow also had an open circle at -8, it would instead be represented as \( x < -8 \) without including -8. However, since you've only mentioned the arrow starting on -8, it's generally understood that the values of \( x \) are less than -8.
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