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# The length, $l$ meters, of a garden is 78.5m, correct to the nearest half meter.Correct this statement about the value of $l$.$................... \leqslant l \leqslant ...............$ Verified
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Hint: Add & subtract half meter to get the range.

It is given that the length of the garden which is 78.5m is correct up to half meter.
So, the range of length of the garden can be written as $\left( {78.5 \pm \dfrac{1}{2}} \right)m$

So,
${l}_{1} = 78.5 - \dfrac{1}{2} = 78.5 - 0.5 = 78m \\ {l}_{2} = 78.5 + \dfrac{1}{2} = 78.5 + 0.5 = 79m \\$
So, the length of the garden is greater than equal to 78m and less than equal to 79m.
Therefore length $\left( l \right)$ of garden correct up to half meter is written as
$78 \leqslant l \leqslant 79$
So, this is the required answer.

Note: In these types of questions, add and subtract half meter to the value given in question, so that we can get the required range.
Last updated date: 22nd Sep 2023
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