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"b - 6.5 < -8" How would this look on a number line?

User Lihongxu
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Final answer:

The inequality b - 6.5 < -8 is represented on a number line as a line stretching to the left of -1.5, with an open circle at -1.5 indicating this value is not included in the solution set.

Step-by-step explanation:

The inequality b - 6.5 < -8 represents a range of values for b that are less than -1.5 (since you would add 6.5 to both sides to solve for b). On a number line, this would be shown as a line stretching to the left of -1.5 and not including -1.5 itself, as the inequality is strictly less than (<), not less than or equal to (\u2264). This is usually represented by a circle at -1.5 that is not filled in, to indicate that -1.5 is not part of the solution, and then a line that extends to the left, showing all numbers that are smaller than -1.5.

User Razzi Abuissa
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