Q. Find the largest integral x which satisfies the following inequality

4 x + 19 x + 5 < 4 x - 17 x - 3 .

Dear Student,
Please find below the solution to the asked query:

We have4x+19x+5<4x-17x-34x+19x+5-4x-17x-3<04x+19x-3-4x-17x+5x+5x-3<04x2-12x+19x-57-4x2-20x+17x+85x+5x-3<04x+28x+5x-3<04x+7x+5x-3<0x+7x+5x-3<04x+7x+5x-3<0Now we use method of interval-------7+++++-5-----3++++We need <0, x-,-7-5,3 Answer

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