French, asked by deemandhi887543356, 8 months ago

If x E{-2,-1,0,1,2,3,4,5}, find the solution set of each of the following inequations: (i) 3x + 4 < 15 (i) 2/3 +x - 1/6 please answer my question I will mark you as brilliant please it's urgent ​ We are given two inequalities which has the solution that belongs to { -2, -1, 0, 1, 2, 3, 4, 5 } Inequality (i) ⇒ 3x + 4 < 15 ⇒ 3x < 11 ⇒ x < 11/3 ⇒ x < 3.666... Which means every value of x which is less than 3.6 satisfies the given inequality, but it is given in the question that x must belong to the given set of solutions. So, We have the following solution ⇒ x ∈ { -2, -1, 0, 1, 2, 3 } Inequality (ii) ⇒ 2/3 + x < 1/6 ⇒ x < 1/6 - 2/3 ⇒ x < (1 - 4)/6 ⇒ x < -3/6 ⇒ x < -0.5 Which means every value of x less than -0.5 satisfies the given inequality. But x must belong to { -2, -1, 0, 1, 2, 3, 4, 5 }, so we have ⇒ x ∈ {-2, -1} Some Information :- ☞ A set is a collection of objects or item, that are of the same type, like Set of Integers, Set of all Cities, Set of all countries, e.t.c ☞ The numb

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Answered by pdp27263
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