1.

Solve the linear Inequations in R.5x/2 + 3x/4 ≥ 39/4

Answer»

Given as

5x/2 + 3x/4 ≥ 39/4

On taking LCM

[2(5x) + 3x]/4 ≥ 39/4

13x/4 ≥ 39/4

Multiplying both the sides by 4 we get,

13x/4 × 4 ≥ 39/4 × 4

13x ≥ 39

Dividing both sides by 13, we get

13x/13 ≥ 39/13

x ≥ 39/13

x ≥ 3

Therefore, the solution of the given inequation is (3, ∞).



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