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Match List I with List II

LIST ILIST II
A. The solution of 3x+7>123x + 7 > 12 isI. [−1,∞)[-1, \infty)
B. The solution of 3x+52≥1\frac{3x+5}{2} \geq 1 isII. [178,∞)\left[\frac{17}{8}, \infty\right)
C. The solution of 2x+5<7x+92x + 5 < 7x + 9 isIII. (53,∞)\left(\frac{5}{3}, \infty\right)
D. The solution of 6x−5≥−2x+126x - 5 \geq -2x + 12 isIV. (−45,∞)\left(-\frac{4}{5}, \infty\right)

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 2

A: 3x>53x > 5, so x>5/3x > 5/3, i.e. (5/3,∞)(5/3, \infty) (III).

B: 3x+5≥23x + 5 \geq 2, so x≥−1x \geq -1, i.e. [−1,∞)[-1, \infty) (I).

C: −4<5x-4 < 5x, so x>−4/5x > -4/5, i.e. (−4/5,∞)(-4/5, \infty) (IV).

D: 8x≥178x \geq 17, so x≥17/8x \geq 17/8, i.e. [17/8,∞)[17/8, \infty) (II).

Matching: A-III, B-I, C-IV, D-II.

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