Assertion: If the same number or expression is added to both sides of an inequation, the resulting inequation has the same sign of inequality as that of the original. Reason: −5 (x − 9) $\geq$, 17 − 9x x + 2, x ∈ R gives Х ∈ [-7, -$\frac{3}{2}$]

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Assertion: If the same number or expression is added to both sides of an inequation, the resulting inequation has the same sign of inequality as that of the original. Reason: −5 (x − 9) $\geq$, 17 − 9x > x + 2, x ∈ R gives Х ∈ [-7, -$\frac{3}{2}$]

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Assertion (A) is true but Reason (R) is false. Explanation: Given: −5(x − 9) $\geq$ 17 − 9x > x + 2, x ∈ R First part: −5(x − 9) $\geq$ 17 − 9x $\Rightarrow$ −5x + 45 $\geq$ 17 − 9x $\Rightarrow$ −5x + 45 − 17 $\geq$ − 9x $\Rightarrow$ 28 $\geq$ −4x $\Rightarrow$ x $\geq$ −7 Second part: 17 − 9x > x + 2 $\Rightarrow$ 17 − 2 > x + 9x $\Rightarrow$ 15 > 10x $\Rightarrow$ x < $\frac{3}{2}$ Combine both: x ∈ (-7, $\frac{3}{2}$) Reason is false.

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