Mathematics
If 25 - 4x ≤ 16, find :
(i) the smallest value of x when x is a real number,
(ii) the smallest value of x when x is an integer.
Linear Inequations
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Answer
Given,
⇒ 25 - 4x ≤ 16
⇒ -4x ≤ 16 - 25
⇒ -4x ≤ -9
Multiplying both sides by -1 we get,
⇒ 4x ≥ 9 (As on multiplying by negative no. the sign reverses.)
Dividing both sides by 4 we get,
⇒ x ≥
⇒ x ≥ 2.25
(i) Given,
x ≥ 2.25
Hence, smallest value of x when x is a real number is 2.25
(ii) Given,
x ≥ 2.25
Hence, smallest value of x when x is an integer is 3.
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