True.
Given the statement 'If the distance from 0 to x on a number line is greater than 5, then -5+x is positive' is True.
For the given question,
The distance from 0 to x on a number line is greater than 5
We write the above statement in mathematical expression form as,
⇒ |x - 0| > 5
⇒ |x| > 5
⇒ x > 5
We need to determine the value of an expression -5 + x
From (1),
⇒ x > 5
Subtract -5 from both sides,
⇒ -5 + x = -5 + 5
⇒ -5 + x > 0
From the above expression, we observe that the value of the expression is always greater than 1.
This means the value of an expression -5 + x is positive.
Therefore, the given statement 'If the distance from 0 to x on a number line is greater than 5, then -5+x is positive' is True.
In mathematics, a number line can be described as a figure that symbolizes numbers on a consecutive line. The digits on a number line are positioned successively with equal spacing along its length. It can be infinitely expanded in any direction and is often depicted horizontally.
Absolute value is the distance between a digit and zero on a number line. Since the space is forever positive, the absolute value will always be positive.
Learn more about the Number Line at
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