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Mathematics

Which of the following is reducible to a linear inequation?

  1. 7 - x2 ≤ 5x + 3

  2. 3x8>4\dfrac{3}{x} - 8 \gt 4

  3. 42x1x264 - \dfrac{2}{x} \ge \dfrac{1}{x^2} - 6

  4. 11x5x2+611 - x \le 5x ^ 2 + 6

Linear Inequations

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Answer

Solving option 2,

3x8>438xx>438x>4x4x+8x>312x>3.\Rightarrow \dfrac{3}{x} - 8 \gt 4 \\[1em] \Rightarrow \dfrac{3 - 8x}{x} \gt 4 \\[1em] \Rightarrow 3 - 8x \gt 4x \\[1em] \Rightarrow 4x + 8x \gt 3 \\[1em] \Rightarrow 12x \gt 3.

The above is a linear inequation.

Hence, Option 2 is the correct option.

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