Match List I with List II
| LIST I | LIST II | ||
| A. |
The solution set of the inequality $5x-8> 2x + 3, x\in R $ i s, |
I. | $\left(-∞,-\frac{6}{5}\right)$ |
| B. |
The solution set of the inequality $3x-4 < 5x+7, x\in R $ is, |
II. | $\left(\frac{11}{3},∞\right)$ |
| C. |
The solution set of the inequality $4x+15 ≤3(1-2x)$ is, |
III. | $[10, ∞)$ |
| D. |
The solution set of the inequality $7x-8≥2(1+3x)$ is, |
IV. | $-\left(\frac{11}{3},∞\right)$ |
Choose the correct answer from the option sgiven below :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → A-IV, B-II, C-I, D-III
(A) $5x-8> 2x + 3, x\in R $
$⇒3x>11$
$⇒x>\frac{11}{3}⇒x∈\left(\frac{11}{3},∞\right)$
(B) $3x-4<5x+7$
$⇒-2x<11$
$⇒x>-\frac{11}{2}⇒x∈\left(-\frac{11}{2},∞\right)$
(C) $4x+15 ≤3(1-2x)$
$⇒4x+15 ≤3-6x$
$⇒10x≤-12$
$⇒x≤-\frac{6}{5}⇒x∈\left(-∞,\frac{6}{5}\right]$
(D) $7x-8≥2(1+3x)$
$⇒7x-8≥2+6x$
$⇒x≥10⇒x∈[10,∞)$