1.

Solve the linear Inequations in R.2(3 – x) ≥ x/5 + 4

Answer»

Given as 2(3 – x) ≥ x/5 + 4

6 – 2x ≥ x/5 + 4

6 – 2x ≥ (x + 20)/5

5(6 – 2x) ≥ (x + 20)

30 – 10x ≥ x + 20

30 – 20 ≥ x + 10x

10 ≥ 11x

11x ≤ 10

Divide both sides by 11, we get

11x/11 ≤ 10/11

x ≤ 10/11

Therefore, the solution of the given inequation is (-∞, 10/11).


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