Mathematics
Use real number line to find the range of values of x for which:
x < 0 and -3 ≤ x < 1
Linear Inequations
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Answer
Given,
x < 0 and -3 ≤ x < 1
Common between two equations is the solution set.
∴ Solution set = {-3 ≤ x < 0}.
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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 ?