Mathematics
What is the smallest value of x in the following inequation?
20 - 5x < 5(x + 8) and x ∈ I
-1
0
1
cannot be determined
Linear Inequations
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Answer
⇒ 20 - 5x < 5(x + 8)
⇒ 20 - 5x < 5x + 40
⇒ 5x + 40 > 20 - 5x
⇒ 5x + 5x > 20 - 40
⇒ 10x > 20 - 40
⇒ 10x > -20
⇒ x >
⇒ x > -2
Since, x ∈ I and x > -2
⇒ Smallest value of x in following inequation = -1.
Hence, Option 1 is the correct option.
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