Mathematics
For the replacement set = {-8, -6, -4, -2, 0, 2, 4, 6, 8}, which of the following is not a solution set ?
{-8, -6, -5, -4, 6}
{-6, -2, 0, 2, 6}
{-8, -4, -2, 0, 2}
{-2, 0, 4, 8}
Linear Inequations
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Answer
For the replacement set = {-8, -6, -4, -2, 0, 2, 4, 6, 8}.
{-8, -6, -5, -4, 6} is not the solution set as the element -5 is not present in replacement set.
Hence, Option 1 is the correct option.
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Case study :
A teacher asked to Rohan to draw a triangle with following condition: The longest side of the triangle is 7 cm less than twice the shortest side and third side is 7 cm shorter than longest side. The perimeter of the triangle is atleast 84 cm.
Based on the above information, form a linear inequation and answer the following questions :
(i) What is the minimum length of the shortest side ?
(ii) What is the minimum length of the longest side ?
(iii) Identify the type of triangle that Rohan has drawn along with the length possible sides he got.
(iv) What is the least area of the triangle drawn ?