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Match List - I with List - II.

List - IList - II
(A) The solution set of the inequality −5x>3-5x > 3, x∈Rx \in R, is(I) [207,∞)\left[\frac{20}{7}, \infty\right)
(B) The solution set of the inequality is, −7x4≤−5\frac{-7x}{4} \leq -5, x∈Rx \in R is,(II) [47,∞)\left[\frac{4}{7}, \infty\right)
(C) The solution set of the inequality 7x−4≥07x - 4 \geq 0, x∈Rx \in R is,(III) (−∞,75)\left(-\infty, \frac{7}{5}\right)
(D) The solution set of the inequality 9x−4<4x+39x - 4 < 4x + 3, x∈Rx \in R is,(IV) (−∞,−35)\left(-\infty, -\frac{3}{5}\right)

Choose the correct answer from the options given below :

Solution

✅ Correct Option: 1

(A) −5x>3⇒x<−3/5-5x > 3 \Rightarrow x < -3/5: (IV).

(B) −7x/4≤−5⇒x≥20/7-7x/4 \leq -5 \Rightarrow x \geq 20/7: (I).

(C) 7x−4≥0⇒x≥4/77x - 4 \geq 0 \Rightarrow x \geq 4/7: (II).

(D) 9x−4<4x+3⇒x<7/59x - 4 < 4x + 3 \Rightarrow x < 7/5: (III).

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