CUET Preparation Today
CUET
-- Applied Mathematics - Section B2
Numbers, Quantification and Numerical Applications
If $\frac{2x+4}{x-1}≥5, $ then :
$x\in [1, 3]$
$x\in (1, 3)$
$x\in (1, 3]$
$x\in [1, 3)$
The correct answer is Option (3) → $x\in (1, 3]$
$\frac{2x+4}{x-1}≥5$
$⇒2x+4≥5x-5$
$⇒a≥3x$
$⇒x≤3,x≠1$
$⇒x\in (1, 3]$
