Solve 5x – 3 (i) x is an integer (ii) x is a ...

NCERT Class XI Mathematics - Linear Inequalities - Solutions

Question : 3 of 65

Marks: +1, -0

Solve 5x – 3 < 7, when

(i) x is an integer

(ii) x is a real number

Solution:

Given inequality is 5x – 3 < 7

Transposing 3 to R.H.S., we get 5x < 7 + 3 or 5x < 10

Dividing both sides by 5, we get x < 2

(i) When x is an integer, {.... –2, –1, 0, 1} satisfies this inequality.

(ii) When x is real number, the solution is (–∞, 2).

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