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8. find ln and nq. ln = ____________ nq = ____________

Question

  1. find ln and nq. ln = __________ nq = __________

Explanation:

Step1: Assume L is at - 10 and N is at 2.

The distance between two points on a number - line is given by \(d = |x_2 - x_1|\). For \(LN\), if \(x_1=-10\) and \(x_2 = 2\), then \(LN=|2-(-10)|\).
\[LN = |2 + 10|=12\]

Step2: Assume N is at 2 and Q is at 4.

For \(NQ\), if \(x_1 = 2\) and \(x_2=4\), then \(NQ=|4 - 2|\).
\[NQ=2\]

Answer:

\(LN = 12\), \(NQ = 2\)