Sir Q 2 If 3x-25x-3≥3, then x∈∘712,35∘R- 712,35∘[712,35)∘(712,35] - Maths - Linear Inequalities

Question

Sir

Q   2   I f   3 x - 2 5 x - 3 ≥ 3 ,   t h
e n   x ∈ ∘ 7 12 , 3 5 ∘ R -   7 12 , 3
5 ∘ [ 7 12 , 3 5 ) ∘ ( 7 12 , 3 5 ]

Muskaan Talwar · Accepted Answer

Dear Student, 3x-25x-3≥3⇒3x-25x-3-3≥0⇒3x-2-15x+95x-3≥0⇒-12x+75x-3≥0Case 1: -12x+7≥0 and 5x-3>0⇒7≥12x and 5x>3⇒x≤712 and x>35which is not possible Case 2:-12x+7≤0 and 5x-3<0⇒7≤12x and 5x<3⇒x≥712 and x<35⇒x∈[7/12,3/5) Hope this information will clear your doubts about topic Regards

Sir. Q . 2 I f 3 x - 2 5 x - 3 ≥ 3 , t h e n x ∈ ∘ 7 12 , 3 5 ∘ R - 7 12 , 3 5 ∘ [ 7 12 , 3 5 ) ∘ ( 7 12 , 3 5 ]

Sir.

$Q . 2 I f \frac{3 x - 2}{5 x - 3} \geq 3, t h e n x \in \circ [\frac{7}{12}, \frac{3}{5}] \circ R - [\frac{7}{12}, \frac{3}{5}] \circ [\frac{7}{12}, \frac{3}{5}) \circ (\frac{7}{12}, \frac{3}{5}]$