If 7 -2x + 1 -7 ; find the sum of greatest and smallest values of x ∈ I.

Question

KnowledgeBoat · Accepted Answer

Given, 7 -2x + 1 -7 Solving L.H.S. of the inequation, ⇒ 7 -2x + 1 ⇒ 7 - 1 -2x ⇒ 6 -2x ⇒ 2x -6 ⇒ x ⇒ x -3 ....(1) Solving R.H.S. of the inequation, ⇒ -2x + 1 -7 ⇒ -2x -7 - 1 ⇒ -2x -8 ⇒ 2x 8 ⇒ x ⇒ x 4 ....(2) From (1) and (2) we get, -3 x 4 Since x ∈ I, x = {-3, -2, -1, 0, 1, 2, 3} Greatest value of x is 3 and smallest value of x is -3 The sum of greatest and smallest values of x = -3 + 3 = 0 Hence, sum of greatest and smallest values of x = 0.

Mathematics

If 7 ≥ -2x + 1 > -7 ; find the sum of greatest and smallest values of x ∈ I.

Linear Inequations

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